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Finding the Fourth Proportional to 7.60, 10.42 and 7.54

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Solution

The fourth proportional to 7.60, 10.42 and 7.54 is: 10.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.60 : 10.42 = 7.54 : x
  2. Step 2: Convert to fraction form
    7.60/10.42 = 7.54/x
  3. Step 3: Cross multiply
    7.60x = 10.42 × 7.54
  4. Step 4: Simplify right side
    7.60x = 78.57
  5. Step 5: Solve for x
    x = 78.57/7.60
  6. Step 6: Final answer
    x = 10.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.