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Finding the Fourth Proportional to 98.80, 148.14 and 37.86

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Solution

The fourth proportional to 98.80, 148.14 and 37.86 is: 56.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.80 : 148.14 = 37.86 : x
  2. Step 2: Convert to fraction form
    98.80/148.14 = 37.86/x
  3. Step 3: Cross multiply
    98.80x = 148.14 × 37.86
  4. Step 4: Simplify right side
    98.80x = 5,608.58
  5. Step 5: Solve for x
    x = 5,608.58/98.80
  6. Step 6: Final answer
    x = 56.77

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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.