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Finding the Fourth Proportional to 71.61, 106.90 and 62.50

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Solution

The fourth proportional to 71.61, 106.90 and 62.50 is: 93.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.61 : 106.90 = 62.50 : x
  2. Step 2: Convert to fraction form
    71.61/106.90 = 62.50/x
  3. Step 3: Cross multiply
    71.61x = 106.90 × 62.50
  4. Step 4: Simplify right side
    71.61x = 6,681.25
  5. Step 5: Solve for x
    x = 6,681.25/71.61
  6. Step 6: Final answer
    x = 93.30

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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.