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Finding the Fourth Proportional to 74.25, 111.33 and 65.25

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Solution

The fourth proportional to 74.25, 111.33 and 65.25 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 111.33 = 65.25 : x
  2. Step 2: Convert to fraction form
    74.25/111.33 = 65.25/x
  3. Step 3: Cross multiply
    74.25x = 111.33 × 65.25
  4. Step 4: Simplify right side
    74.25x = 7,264.28
  5. Step 5: Solve for x
    x = 7,264.28/74.25
  6. Step 6: Final answer
    x = 97.84

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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.