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Finding the Fourth Proportional to 71.55, 106.80 and 61.47

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Solution

The fourth proportional to 71.55, 106.80 and 61.47 is: 91.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.55 : 106.80 = 61.47 : x
  2. Step 2: Convert to fraction form
    71.55/106.80 = 61.47/x
  3. Step 3: Cross multiply
    71.55x = 106.80 × 61.47
  4. Step 4: Simplify right side
    71.55x = 6,564.15
  5. Step 5: Solve for x
    x = 6,564.15/71.55
  6. Step 6: Final answer
    x = 91.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.