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Finding the Fourth Proportional to 98.76, 148.66 and 76.04

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Solution

The fourth proportional to 98.76, 148.66 and 76.04 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.76 : 148.66 = 76.04 : x
  2. Step 2: Convert to fraction form
    98.76/148.66 = 76.04/x
  3. Step 3: Cross multiply
    98.76x = 148.66 × 76.04
  4. Step 4: Simplify right side
    98.76x = 11,304.11
  5. Step 5: Solve for x
    x = 11,304.11/98.76
  6. Step 6: Final answer
    x = 114.46

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Why These Related Problems?

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