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Finding the Fourth Proportional to 74.24, 102.33 and 55.79

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Solution

The fourth proportional to 74.24, 102.33 and 55.79 is: 76.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.24 : 102.33 = 55.79 : x
  2. Step 2: Convert to fraction form
    74.24/102.33 = 55.79/x
  3. Step 3: Cross multiply
    74.24x = 102.33 × 55.79
  4. Step 4: Simplify right side
    74.24x = 5,708.63
  5. Step 5: Solve for x
    x = 5,708.63/74.24
  6. Step 6: Final answer
    x = 76.89

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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.