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Finding the Fourth Proportional to 98.75, 147.16 and 95.49

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Solution

The fourth proportional to 98.75, 147.16 and 95.49 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 147.16 = 95.49 : x
  2. Step 2: Convert to fraction form
    98.75/147.16 = 95.49/x
  3. Step 3: Cross multiply
    98.75x = 147.16 × 95.49
  4. Step 4: Simplify right side
    98.75x = 14,052.07
  5. Step 5: Solve for x
    x = 14,052.07/98.75
  6. Step 6: Final answer
    x = 142.30

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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.