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Finding the Fourth Proportional to 108.29, 162.09 and 62.50

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Solution

The fourth proportional to 108.29, 162.09 and 62.50 is: 93.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.29 : 162.09 = 62.50 : x
  2. Step 2: Convert to fraction form
    108.29/162.09 = 62.50/x
  3. Step 3: Cross multiply
    108.29x = 162.09 × 62.50
  4. Step 4: Simplify right side
    108.29x = 10,130.38
  5. Step 5: Solve for x
    x = 10,130.38/108.29
  6. Step 6: Final answer
    x = 93.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.