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Finding the Fourth Proportional to 74.72, 111.68 and 55.49

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Solution

The fourth proportional to 74.72, 111.68 and 55.49 is: 82.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.72 : 111.68 = 55.49 : x
  2. Step 2: Convert to fraction form
    74.72/111.68 = 55.49/x
  3. Step 3: Cross multiply
    74.72x = 111.68 × 55.49
  4. Step 4: Simplify right side
    74.72x = 6,196.50
  5. Step 5: Solve for x
    x = 6,196.50/74.72
  6. Step 6: Final answer
    x = 82.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.