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Finding the Fourth Proportional to 97.29, 145.62 and 85.14

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Solution

The fourth proportional to 97.29, 145.62 and 85.14 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.29 : 145.62 = 85.14 : x
  2. Step 2: Convert to fraction form
    97.29/145.62 = 85.14/x
  3. Step 3: Cross multiply
    97.29x = 145.62 × 85.14
  4. Step 4: Simplify right side
    97.29x = 12,398.09
  5. Step 5: Solve for x
    x = 12,398.09/97.29
  6. Step 6: Final answer
    x = 127.43

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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.