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Finding the Fourth Proportional to 52.77, 72.78 and 37.24

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Solution

The fourth proportional to 52.77, 72.78 and 37.24 is: 51.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.77 : 72.78 = 37.24 : x
  2. Step 2: Convert to fraction form
    52.77/72.78 = 37.24/x
  3. Step 3: Cross multiply
    52.77x = 72.78 × 37.24
  4. Step 4: Simplify right side
    52.77x = 2,710.33
  5. Step 5: Solve for x
    x = 2,710.33/52.77
  6. Step 6: Final answer
    x = 51.36

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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.