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Finding the Fourth Proportional to 7.65, 10.56 and 4.42

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Solution

The fourth proportional to 7.65, 10.56 and 4.42 is: 6.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 10.56 = 4.42 : x
  2. Step 2: Convert to fraction form
    7.65/10.56 = 4.42/x
  3. Step 3: Cross multiply
    7.65x = 10.56 × 4.42
  4. Step 4: Simplify right side
    7.65x = 46.61
  5. Step 5: Solve for x
    x = 46.61/7.65
  6. Step 6: Final answer
    x = 6.09

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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.