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Finding the Fourth Proportional to 74.69, 111.87 and 61.02

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Solution

The fourth proportional to 74.69, 111.87 and 61.02 is: 91.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.69 : 111.87 = 61.02 : x
  2. Step 2: Convert to fraction form
    74.69/111.87 = 61.02/x
  3. Step 3: Cross multiply
    74.69x = 111.87 × 61.02
  4. Step 4: Simplify right side
    74.69x = 6,826.31
  5. Step 5: Solve for x
    x = 6,826.31/74.69
  6. Step 6: Final answer
    x = 91.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.