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Finding the Fourth Proportional to 95.32, 131.54 and 56.00

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Solution

The fourth proportional to 95.32, 131.54 and 56.00 is: 77.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.32 : 131.54 = 56.00 : x
  2. Step 2: Convert to fraction form
    95.32/131.54 = 56.00/x
  3. Step 3: Cross multiply
    95.32x = 131.54 × 56.00
  4. Step 4: Simplify right side
    95.32x = 7,367.06
  5. Step 5: Solve for x
    x = 7,367.06/95.32
  6. Step 6: Final answer
    x = 77.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.