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Finding the Fourth Proportional to 101.88, 152.04 and 96.12

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Solution

The fourth proportional to 101.88, 152.04 and 96.12 is: 143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.88 : 152.04 = 96.12 : x
  2. Step 2: Convert to fraction form
    101.88/152.04 = 96.12/x
  3. Step 3: Cross multiply
    101.88x = 152.04 × 96.12
  4. Step 4: Simplify right side
    101.88x = 14,614.08
  5. Step 5: Solve for x
    x = 14,614.08/101.88
  6. Step 6: Final answer
    x = 143.44

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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.