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Finding the Fourth Proportional to 98.76, 148.04 and 37.85

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Solution

The fourth proportional to 98.76, 148.04 and 37.85 is: 56.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.76 : 148.04 = 37.85 : x
  2. Step 2: Convert to fraction form
    98.76/148.04 = 37.85/x
  3. Step 3: Cross multiply
    98.76x = 148.04 × 37.85
  4. Step 4: Simplify right side
    98.76x = 5,603.12
  5. Step 5: Solve for x
    x = 5,603.12/98.76
  6. Step 6: Final answer
    x = 56.73

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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.