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Finding the Fourth Proportional to 98.61, 146.70 and 98.38

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Solution

The fourth proportional to 98.61, 146.70 and 98.38 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.61 : 146.70 = 98.38 : x
  2. Step 2: Convert to fraction form
    98.61/146.70 = 98.38/x
  3. Step 3: Cross multiply
    98.61x = 146.70 × 98.38
  4. Step 4: Simplify right side
    98.61x = 14,432.35
  5. Step 5: Solve for x
    x = 14,432.35/98.61
  6. Step 6: Final answer
    x = 146.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.