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Finding the Fourth Proportional to 95.16, 131.32 and 53.71

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Solution

The fourth proportional to 95.16, 131.32 and 53.71 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.16 : 131.32 = 53.71 : x
  2. Step 2: Convert to fraction form
    95.16/131.32 = 53.71/x
  3. Step 3: Cross multiply
    95.16x = 131.32 × 53.71
  4. Step 4: Simplify right side
    95.16x = 7,052.93
  5. Step 5: Solve for x
    x = 7,052.93/95.16
  6. Step 6: Final answer
    x = 74.12

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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.