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Finding the Fourth Proportional to 69.10, 95.54 and 65.87

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Solution

The fourth proportional to 69.10, 95.54 and 65.87 is: 91.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.10 : 95.54 = 65.87 : x
  2. Step 2: Convert to fraction form
    69.10/95.54 = 65.87/x
  3. Step 3: Cross multiply
    69.10x = 95.54 × 65.87
  4. Step 4: Simplify right side
    69.10x = 6,292.91
  5. Step 5: Solve for x
    x = 6,292.91/69.10
  6. Step 6: Final answer
    x = 91.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.