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Finding the Fourth Proportional to 97.72, 145.57 and 96.68

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Solution

The fourth proportional to 97.72, 145.57 and 96.68 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 145.57 = 96.68 : x
  2. Step 2: Convert to fraction form
    97.72/145.57 = 96.68/x
  3. Step 3: Cross multiply
    97.72x = 145.57 × 96.68
  4. Step 4: Simplify right side
    97.72x = 14,073.71
  5. Step 5: Solve for x
    x = 14,073.71/97.72
  6. Step 6: Final answer
    x = 144.02

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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.