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Finding the Fourth Proportional to 10.65, 14.67 and 10.10

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Solution

The fourth proportional to 10.65, 14.67 and 10.10 is: 13.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.65 : 14.67 = 10.10 : x
  2. Step 2: Convert to fraction form
    10.65/14.67 = 10.10/x
  3. Step 3: Cross multiply
    10.65x = 14.67 × 10.10
  4. Step 4: Simplify right side
    10.65x = 148.09
  5. Step 5: Solve for x
    x = 148.09/10.65
  6. Step 6: Final answer
    x = 13.91

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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.