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Finding the Fourth Proportional to 162.53, 224.09 and 107.17

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Solution

The fourth proportional to 162.53, 224.09 and 107.17 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.53 : 224.09 = 107.17 : x
  2. Step 2: Convert to fraction form
    162.53/224.09 = 107.17/x
  3. Step 3: Cross multiply
    162.53x = 224.09 × 107.17
  4. Step 4: Simplify right side
    162.53x = 24,014.07
  5. Step 5: Solve for x
    x = 24,014.07/162.53
  6. Step 6: Final answer
    x = 147.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.