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Finding the Fourth Proportional to 95.95, 144.45 and 65.71

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Solution

The fourth proportional to 95.95, 144.45 and 65.71 is: 98.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.95 : 144.45 = 65.71 : x
  2. Step 2: Convert to fraction form
    95.95/144.45 = 65.71/x
  3. Step 3: Cross multiply
    95.95x = 144.45 × 65.71
  4. Step 4: Simplify right side
    95.95x = 9,490.76
  5. Step 5: Solve for x
    x = 9,490.76/95.95
  6. Step 6: Final answer
    x = 98.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.