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Finding the Fourth Proportional to 96.10, 143.20 and 91.74

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Solution

The fourth proportional to 96.10, 143.20 and 91.74 is: 136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 143.20 = 91.74 : x
  2. Step 2: Convert to fraction form
    96.10/143.20 = 91.74/x
  3. Step 3: Cross multiply
    96.10x = 143.20 × 91.74
  4. Step 4: Simplify right side
    96.10x = 13,137.17
  5. Step 5: Solve for x
    x = 13,137.17/96.10
  6. Step 6: Final answer
    x = 136.70

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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.