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Finding the Fourth Proportional to 82.59, 123.70 and 65.10

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Solution

The fourth proportional to 82.59, 123.70 and 65.10 is: 97.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.59 : 123.70 = 65.10 : x
  2. Step 2: Convert to fraction form
    82.59/123.70 = 65.10/x
  3. Step 3: Cross multiply
    82.59x = 123.70 × 65.10
  4. Step 4: Simplify right side
    82.59x = 8,052.87
  5. Step 5: Solve for x
    x = 8,052.87/82.59
  6. Step 6: Final answer
    x = 97.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.