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Finding the Fourth Proportional to 74.82, 111.98 and 65.31

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Solution

The fourth proportional to 74.82, 111.98 and 65.31 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.82 : 111.98 = 65.31 : x
  2. Step 2: Convert to fraction form
    74.82/111.98 = 65.31/x
  3. Step 3: Cross multiply
    74.82x = 111.98 × 65.31
  4. Step 4: Simplify right side
    74.82x = 7,312.53
  5. Step 5: Solve for x
    x = 7,312.53/74.82
  6. Step 6: Final answer
    x = 97.74

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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.