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Finding the Fourth Proportional to 71.03, 106.10 and 65.88

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Solution

The fourth proportional to 71.03, 106.10 and 65.88 is: 98.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.03 : 106.10 = 65.88 : x
  2. Step 2: Convert to fraction form
    71.03/106.10 = 65.88/x
  3. Step 3: Cross multiply
    71.03x = 106.10 × 65.88
  4. Step 4: Simplify right side
    71.03x = 6,989.54
  5. Step 5: Solve for x
    x = 6,989.54/71.03
  6. Step 6: Final answer
    x = 98.41

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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.