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Finding the Fourth Proportional to 74.61, 112.41 and 65.88

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Solution

The fourth proportional to 74.61, 112.41 and 65.88 is: 99.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.61 : 112.41 = 65.88 : x
  2. Step 2: Convert to fraction form
    74.61/112.41 = 65.88/x
  3. Step 3: Cross multiply
    74.61x = 112.41 × 65.88
  4. Step 4: Simplify right side
    74.61x = 7,405.57
  5. Step 5: Solve for x
    x = 7,405.57/74.61
  6. Step 6: Final answer
    x = 99.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.