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Finding the Fourth Proportional to 97.90, 145.88 and 95.11

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Solution

The fourth proportional to 97.90, 145.88 and 95.11 is: 141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.90 : 145.88 = 95.11 : x
  2. Step 2: Convert to fraction form
    97.90/145.88 = 95.11/x
  3. Step 3: Cross multiply
    97.90x = 145.88 × 95.11
  4. Step 4: Simplify right side
    97.90x = 13,874.65
  5. Step 5: Solve for x
    x = 13,874.65/97.90
  6. Step 6: Final answer
    x = 141.73

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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.