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Finding the Fourth Proportional to 98.38, 147.57 and 98

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Solution

The fourth proportional to 98.38, 147.57 and 98 is: 147

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 147.57 = 98 : x
  2. Step 2: Convert to fraction form
    98.38/147.57 = 98/x
  3. Step 3: Cross multiply
    98.38x = 147.57 × 98
  4. Step 4: Simplify right side
    98.38x = 14,461.86
  5. Step 5: Solve for x
    x = 14,461.86/98.38
  6. Step 6: Final answer
    x = 147

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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.