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Finding the Fourth Proportional to 144.13, 216.24 and 57.50

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Solution

The fourth proportional to 144.13, 216.24 and 57.50 is: 86.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.13 : 216.24 = 57.50 : x
  2. Step 2: Convert to fraction form
    144.13/216.24 = 57.50/x
  3. Step 3: Cross multiply
    144.13x = 216.24 × 57.50
  4. Step 4: Simplify right side
    144.13x = 12,434.34
  5. Step 5: Solve for x
    x = 12,434.34/144.13
  6. Step 6: Final answer
    x = 86.27

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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.