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Finding the Fourth Proportional to 102.25, 141.08 and 58.58

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Solution

The fourth proportional to 102.25, 141.08 and 58.58 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 141.08 = 58.58 : x
  2. Step 2: Convert to fraction form
    102.25/141.08 = 58.58/x
  3. Step 3: Cross multiply
    102.25x = 141.08 × 58.58
  4. Step 4: Simplify right side
    102.25x = 8,264.00
  5. Step 5: Solve for x
    x = 8,264.00/102.25
  6. Step 6: Final answer
    x = 80.82

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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.