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Finding the Fourth Proportional to 82.59, 114.02 and 64.13

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Solution

The fourth proportional to 82.59, 114.02 and 64.13 is: 88.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.59 : 114.02 = 64.13 : x
  2. Step 2: Convert to fraction form
    82.59/114.02 = 64.13/x
  3. Step 3: Cross multiply
    82.59x = 114.02 × 64.13
  4. Step 4: Simplify right side
    82.59x = 7,312.10
  5. Step 5: Solve for x
    x = 7,312.10/82.59
  6. Step 6: Final answer
    x = 88.53

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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.