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Finding the Fourth Proportional to 74.79, 111.65 and 59.42

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Solution

The fourth proportional to 74.79, 111.65 and 59.42 is: 88.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.79 : 111.65 = 59.42 : x
  2. Step 2: Convert to fraction form
    74.79/111.65 = 59.42/x
  3. Step 3: Cross multiply
    74.79x = 111.65 × 59.42
  4. Step 4: Simplify right side
    74.79x = 6,633.60
  5. Step 5: Solve for x
    x = 6,633.60/74.79
  6. Step 6: Final answer
    x = 88.70

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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.