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Finding the Fourth Proportional to 144.52, 216.87 and 59.02

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Solution

The fourth proportional to 144.52, 216.87 and 59.02 is: 88.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 216.87 = 59.02 : x
  2. Step 2: Convert to fraction form
    144.52/216.87 = 59.02/x
  3. Step 3: Cross multiply
    144.52x = 216.87 × 59.02
  4. Step 4: Simplify right side
    144.52x = 12,798.29
  5. Step 5: Solve for x
    x = 12,798.29/144.52
  6. Step 6: Final answer
    x = 88.56

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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.