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Finding the Fourth Proportional to 144.81, 216.82 and 101.52

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Solution

The fourth proportional to 144.81, 216.82 and 101.52 is: 152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 216.82 = 101.52 : x
  2. Step 2: Convert to fraction form
    144.81/216.82 = 101.52/x
  3. Step 3: Cross multiply
    144.81x = 216.82 × 101.52
  4. Step 4: Simplify right side
    144.81x = 22,011.57
  5. Step 5: Solve for x
    x = 22,011.57/144.81
  6. Step 6: Final answer
    x = 152.00

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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.