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Finding the Fourth Proportional to 65.13, 89.91 and 59.69

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Solution

The fourth proportional to 65.13, 89.91 and 59.69 is: 82.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.13 : 89.91 = 59.69 : x
  2. Step 2: Convert to fraction form
    65.13/89.91 = 59.69/x
  3. Step 3: Cross multiply
    65.13x = 89.91 × 59.69
  4. Step 4: Simplify right side
    65.13x = 5,366.43
  5. Step 5: Solve for x
    x = 5,366.43/65.13
  6. Step 6: Final answer
    x = 82.40

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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.