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Finding the Fourth Proportional to 7.55, 10.42 and 6.02

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Solution

The fourth proportional to 7.55, 10.42 and 6.02 is: 8.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.55 : 10.42 = 6.02 : x
  2. Step 2: Convert to fraction form
    7.55/10.42 = 6.02/x
  3. Step 3: Cross multiply
    7.55x = 10.42 × 6.02
  4. Step 4: Simplify right side
    7.55x = 62.69
  5. Step 5: Solve for x
    x = 62.69/7.55
  6. Step 6: Final answer
    x = 8.30

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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.