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Finding the Fourth Proportional to 96.16, 144.12 and 60.10

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Solution

The fourth proportional to 96.16, 144.12 and 60.10 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 144.12 = 60.10 : x
  2. Step 2: Convert to fraction form
    96.16/144.12 = 60.10/x
  3. Step 3: Cross multiply
    96.16x = 144.12 × 60.10
  4. Step 4: Simplify right side
    96.16x = 8,661.61
  5. Step 5: Solve for x
    x = 8,661.61/96.16
  6. Step 6: Final answer
    x = 90.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.