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Finding the Fourth Proportional to 10.65, 14.70 and 7.74

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Solution

The fourth proportional to 10.65, 14.70 and 7.74 is: 10.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.65 : 14.70 = 7.74 : x
  2. Step 2: Convert to fraction form
    10.65/14.70 = 7.74/x
  3. Step 3: Cross multiply
    10.65x = 14.70 × 7.74
  4. Step 4: Simplify right side
    10.65x = 113.80
  5. Step 5: Solve for x
    x = 113.80/10.65
  6. Step 6: Final answer
    x = 10.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.