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Finding the Fourth Proportional to 144.10, 216.24 and 57.42

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Solution

The fourth proportional to 144.10, 216.24 and 57.42 is: 86.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.10 : 216.24 = 57.42 : x
  2. Step 2: Convert to fraction form
    144.10/216.24 = 57.42/x
  3. Step 3: Cross multiply
    144.10x = 216.24 × 57.42
  4. Step 4: Simplify right side
    144.10x = 12,415.13
  5. Step 5: Solve for x
    x = 12,415.13/144.10
  6. Step 6: Final answer
    x = 86.16

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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.