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Finding the Fourth Proportional to 101.71, 153.45 and 96.65

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Solution

The fourth proportional to 101.71, 153.45 and 96.65 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.71 : 153.45 = 96.65 : x
  2. Step 2: Convert to fraction form
    101.71/153.45 = 96.65/x
  3. Step 3: Cross multiply
    101.71x = 153.45 × 96.65
  4. Step 4: Simplify right side
    101.71x = 14,830.94
  5. Step 5: Solve for x
    x = 14,830.94/101.71
  6. Step 6: Final answer
    x = 145.82

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Why These Related Problems?

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