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Finding the Fourth Proportional to 96.08, 144.02 and 42

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Solution

The fourth proportional to 96.08, 144.02 and 42 is: 62.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.08 : 144.02 = 42 : x
  2. Step 2: Convert to fraction form
    96.08/144.02 = 42/x
  3. Step 3: Cross multiply
    96.08x = 144.02 × 42
  4. Step 4: Simplify right side
    96.08x = 6,048.84
  5. Step 5: Solve for x
    x = 6,048.84/96.08
  6. Step 6: Final answer
    x = 62.96

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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.