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Finding the Fourth Proportional to 144.42, 216.54 and 74.91

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Solution

The fourth proportional to 144.42, 216.54 and 74.91 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.42 : 216.54 = 74.91 : x
  2. Step 2: Convert to fraction form
    144.42/216.54 = 74.91/x
  3. Step 3: Cross multiply
    144.42x = 216.54 × 74.91
  4. Step 4: Simplify right side
    144.42x = 16,221.01
  5. Step 5: Solve for x
    x = 16,221.01/144.42
  6. Step 6: Final answer
    x = 112.32

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