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Finding the Fourth Proportional to 162.70, 224.53 and 107.47

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Solution

The fourth proportional to 162.70, 224.53 and 107.47 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.70 : 224.53 = 107.47 : x
  2. Step 2: Convert to fraction form
    162.70/224.53 = 107.47/x
  3. Step 3: Cross multiply
    162.70x = 224.53 × 107.47
  4. Step 4: Simplify right side
    162.70x = 24,130.24
  5. Step 5: Solve for x
    x = 24,130.24/162.70
  6. Step 6: Final answer
    x = 148.31

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