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Finding the Fourth Proportional to 95.32, 131.54 and 56.50

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Solution

The fourth proportional to 95.32, 131.54 and 56.50 is: 77.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.32 : 131.54 = 56.50 : x
  2. Step 2: Convert to fraction form
    95.32/131.54 = 56.50/x
  3. Step 3: Cross multiply
    95.32x = 131.54 × 56.50
  4. Step 4: Simplify right side
    95.32x = 7,432.01
  5. Step 5: Solve for x
    x = 7,432.01/95.32
  6. Step 6: Final answer
    x = 77.97

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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.