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Finding the Fourth Proportional to 162.59, 224.66 and 126.06

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Solution

The fourth proportional to 162.59, 224.66 and 126.06 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.59 : 224.66 = 126.06 : x
  2. Step 2: Convert to fraction form
    162.59/224.66 = 126.06/x
  3. Step 3: Cross multiply
    162.59x = 224.66 × 126.06
  4. Step 4: Simplify right side
    162.59x = 28,320.01
  5. Step 5: Solve for x
    x = 28,320.01/162.59
  6. Step 6: Final answer
    x = 174.19

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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.