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Finding the Fourth Proportional to 102.83, 141.84 and 59.15

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Solution

The fourth proportional to 102.83, 141.84 and 59.15 is: 81.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.83 : 141.84 = 59.15 : x
  2. Step 2: Convert to fraction form
    102.83/141.84 = 59.15/x
  3. Step 3: Cross multiply
    102.83x = 141.84 × 59.15
  4. Step 4: Simplify right side
    102.83x = 8,390.19
  5. Step 5: Solve for x
    x = 8,390.19/102.83
  6. Step 6: Final answer
    x = 81.60

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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.