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Finding the Fourth Proportional to 95.32, 142.75 and 54.77

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Solution

The fourth proportional to 95.32, 142.75 and 54.77 is: 82.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.32 : 142.75 = 54.77 : x
  2. Step 2: Convert to fraction form
    95.32/142.75 = 54.77/x
  3. Step 3: Cross multiply
    95.32x = 142.75 × 54.77
  4. Step 4: Simplify right side
    95.32x = 7,818.42
  5. Step 5: Solve for x
    x = 7,818.42/95.32
  6. Step 6: Final answer
    x = 82.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.