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Finding the Fourth Proportional to 74.54, 111.88 and 68.16

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Solution

The fourth proportional to 74.54, 111.88 and 68.16 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.54 : 111.88 = 68.16 : x
  2. Step 2: Convert to fraction form
    74.54/111.88 = 68.16/x
  3. Step 3: Cross multiply
    74.54x = 111.88 × 68.16
  4. Step 4: Simplify right side
    74.54x = 7,625.74
  5. Step 5: Solve for x
    x = 7,625.74/74.54
  6. Step 6: Final answer
    x = 102.30

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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.