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Finding the Fourth Proportional to 97.58, 145.67 and 83.72

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Solution

The fourth proportional to 97.58, 145.67 and 83.72 is: 124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.58 : 145.67 = 83.72 : x
  2. Step 2: Convert to fraction form
    97.58/145.67 = 83.72/x
  3. Step 3: Cross multiply
    97.58x = 145.67 × 83.72
  4. Step 4: Simplify right side
    97.58x = 12,195.44
  5. Step 5: Solve for x
    x = 12,195.44/97.58
  6. Step 6: Final answer
    x = 124.98

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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.