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Finding the Fourth Proportional to 7.65, 10.54 and 7.25

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Solution

The fourth proportional to 7.65, 10.54 and 7.25 is: 9.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 10.54 = 7.25 : x
  2. Step 2: Convert to fraction form
    7.65/10.54 = 7.25/x
  3. Step 3: Cross multiply
    7.65x = 10.54 × 7.25
  4. Step 4: Simplify right side
    7.65x = 76.42
  5. Step 5: Solve for x
    x = 76.42/7.65
  6. Step 6: Final answer
    x = 9.99

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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.