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Finding the Fourth Proportional to 95.76, 142.86 and 91.68

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Solution

The fourth proportional to 95.76, 142.86 and 91.68 is: 136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 142.86 = 91.68 : x
  2. Step 2: Convert to fraction form
    95.76/142.86 = 91.68/x
  3. Step 3: Cross multiply
    95.76x = 142.86 × 91.68
  4. Step 4: Simplify right side
    95.76x = 13,097.40
  5. Step 5: Solve for x
    x = 13,097.40/95.76
  6. Step 6: Final answer
    x = 136.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.