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Finding the Fourth Proportional to 98.85, 148.32 and 38.00

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Solution

The fourth proportional to 98.85, 148.32 and 38.00 is: 57.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.85 : 148.32 = 38.00 : x
  2. Step 2: Convert to fraction form
    98.85/148.32 = 38.00/x
  3. Step 3: Cross multiply
    98.85x = 148.32 × 38.00
  4. Step 4: Simplify right side
    98.85x = 5,636.53
  5. Step 5: Solve for x
    x = 5,636.53/98.85
  6. Step 6: Final answer
    x = 57.02

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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.