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Finding the Fourth Proportional to 8.42, 11.60 and 7.72

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Solution

The fourth proportional to 8.42, 11.60 and 7.72 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.42 : 11.60 = 7.72 : x
  2. Step 2: Convert to fraction form
    8.42/11.60 = 7.72/x
  3. Step 3: Cross multiply
    8.42x = 11.60 × 7.72
  4. Step 4: Simplify right side
    8.42x = 89.55
  5. Step 5: Solve for x
    x = 89.55/8.42
  6. Step 6: Final answer
    x = 10.64

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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.