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Finding the Fourth Proportional to 71.68, 106.95 and 65.19

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Solution

The fourth proportional to 71.68, 106.95 and 65.19 is: 97.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.68 : 106.95 = 65.19 : x
  2. Step 2: Convert to fraction form
    71.68/106.95 = 65.19/x
  3. Step 3: Cross multiply
    71.68x = 106.95 × 65.19
  4. Step 4: Simplify right side
    71.68x = 6,972.07
  5. Step 5: Solve for x
    x = 6,972.07/71.68
  6. Step 6: Final answer
    x = 97.27

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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.