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Finding the Fourth Proportional to 71.07, 106.65 and 65.13

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Solution

The fourth proportional to 71.07, 106.65 and 65.13 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 106.65 = 65.13 : x
  2. Step 2: Convert to fraction form
    71.07/106.65 = 65.13/x
  3. Step 3: Cross multiply
    71.07x = 106.65 × 65.13
  4. Step 4: Simplify right side
    71.07x = 6,945.26
  5. Step 5: Solve for x
    x = 6,945.26/71.07
  6. Step 6: Final answer
    x = 97.73

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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.