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Finding the Fourth Proportional to 102.77, 141.82 and 56.14

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Solution

The fourth proportional to 102.77, 141.82 and 56.14 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 141.82 = 56.14 : x
  2. Step 2: Convert to fraction form
    102.77/141.82 = 56.14/x
  3. Step 3: Cross multiply
    102.77x = 141.82 × 56.14
  4. Step 4: Simplify right side
    102.77x = 7,961.77
  5. Step 5: Solve for x
    x = 7,961.77/102.77
  6. Step 6: Final answer
    x = 77.47

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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.