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Finding the Fourth Proportional to 144.08, 216.14 and 52.78

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Solution

The fourth proportional to 144.08, 216.14 and 52.78 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.08 : 216.14 = 52.78 : x
  2. Step 2: Convert to fraction form
    144.08/216.14 = 52.78/x
  3. Step 3: Cross multiply
    144.08x = 216.14 × 52.78
  4. Step 4: Simplify right side
    144.08x = 11,407.06
  5. Step 5: Solve for x
    x = 11,407.06/144.08
  6. Step 6: Final answer
    x = 79.17

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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.