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Finding the Fourth Proportional to 52.14, 71.78 and 45.66

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Solution

The fourth proportional to 52.14, 71.78 and 45.66 is: 62.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 71.78 = 45.66 : x
  2. Step 2: Convert to fraction form
    52.14/71.78 = 45.66/x
  3. Step 3: Cross multiply
    52.14x = 71.78 × 45.66
  4. Step 4: Simplify right side
    52.14x = 3,277.47
  5. Step 5: Solve for x
    x = 3,277.47/52.14
  6. Step 6: Final answer
    x = 62.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.