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Finding the Fourth Proportional to 102.25, 141.11 and 56.25

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Solution

The fourth proportional to 102.25, 141.11 and 56.25 is: 77.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 141.11 = 56.25 : x
  2. Step 2: Convert to fraction form
    102.25/141.11 = 56.25/x
  3. Step 3: Cross multiply
    102.25x = 141.11 × 56.25
  4. Step 4: Simplify right side
    102.25x = 7,937.16
  5. Step 5: Solve for x
    x = 7,937.16/102.25
  6. Step 6: Final answer
    x = 77.63

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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.