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Finding the Fourth Proportional to 102.63, 141.57 and 61.17

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Solution

The fourth proportional to 102.63, 141.57 and 61.17 is: 84.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.63 : 141.57 = 61.17 : x
  2. Step 2: Convert to fraction form
    102.63/141.57 = 61.17/x
  3. Step 3: Cross multiply
    102.63x = 141.57 × 61.17
  4. Step 4: Simplify right side
    102.63x = 8,659.84
  5. Step 5: Solve for x
    x = 8,659.84/102.63
  6. Step 6: Final answer
    x = 84.38

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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.