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Finding the Fourth Proportional to 98.68, 146.89 and 98.16

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Solution

The fourth proportional to 98.68, 146.89 and 98.16 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 146.89 = 98.16 : x
  2. Step 2: Convert to fraction form
    98.68/146.89 = 98.16/x
  3. Step 3: Cross multiply
    98.68x = 146.89 × 98.16
  4. Step 4: Simplify right side
    98.68x = 14,418.48
  5. Step 5: Solve for x
    x = 14,418.48/98.68
  6. Step 6: Final answer
    x = 146.12

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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.