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Finding the Fourth Proportional to 9.92, 14.96 and 9.74

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Solution

The fourth proportional to 9.92, 14.96 and 9.74 is: 14.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.92 : 14.96 = 9.74 : x
  2. Step 2: Convert to fraction form
    9.92/14.96 = 9.74/x
  3. Step 3: Cross multiply
    9.92x = 14.96 × 9.74
  4. Step 4: Simplify right side
    9.92x = 145.77
  5. Step 5: Solve for x
    x = 145.77/9.92
  6. Step 6: Final answer
    x = 14.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.