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Finding the Fourth Proportional to 7.34, 10.10 and 6.52

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Solution

The fourth proportional to 7.34, 10.10 and 6.52 is: 8.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.34 : 10.10 = 6.52 : x
  2. Step 2: Convert to fraction form
    7.34/10.10 = 6.52/x
  3. Step 3: Cross multiply
    7.34x = 10.10 × 6.52
  4. Step 4: Simplify right side
    7.34x = 65.85
  5. Step 5: Solve for x
    x = 65.85/7.34
  6. Step 6: Final answer
    x = 8.97

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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.