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Finding the Fourth Proportional to 98.74, 148.02 and 37.82

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Solution

The fourth proportional to 98.74, 148.02 and 37.82 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.74 : 148.02 = 37.82 : x
  2. Step 2: Convert to fraction form
    98.74/148.02 = 37.82/x
  3. Step 3: Cross multiply
    98.74x = 148.02 × 37.82
  4. Step 4: Simplify right side
    98.74x = 5,598.12
  5. Step 5: Solve for x
    x = 5,598.12/98.74
  6. Step 6: Final answer
    x = 56.70

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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.