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Finding the Fourth Proportional to 83.55, 115.14 and 65.10

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Solution

The fourth proportional to 83.55, 115.14 and 65.10 is: 89.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.55 : 115.14 = 65.10 : x
  2. Step 2: Convert to fraction form
    83.55/115.14 = 65.10/x
  3. Step 3: Cross multiply
    83.55x = 115.14 × 65.10
  4. Step 4: Simplify right side
    83.55x = 7,495.61
  5. Step 5: Solve for x
    x = 7,495.61/83.55
  6. Step 6: Final answer
    x = 89.71

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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.