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Finding the Fourth Proportional to 97.47, 146.03 and 91.82

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Solution

The fourth proportional to 97.47, 146.03 and 91.82 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.47 : 146.03 = 91.82 : x
  2. Step 2: Convert to fraction form
    97.47/146.03 = 91.82/x
  3. Step 3: Cross multiply
    97.47x = 146.03 × 91.82
  4. Step 4: Simplify right side
    97.47x = 13,407.29
  5. Step 5: Solve for x
    x = 13,407.29/97.47
  6. Step 6: Final answer
    x = 137.55

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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.