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Finding the Fourth Proportional to 10.42, 14.40 and 9.76

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Solution

The fourth proportional to 10.42, 14.40 and 9.76 is: 13.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 14.40 = 9.76 : x
  2. Step 2: Convert to fraction form
    10.42/14.40 = 9.76/x
  3. Step 3: Cross multiply
    10.42x = 14.40 × 9.76
  4. Step 4: Simplify right side
    10.42x = 140.54
  5. Step 5: Solve for x
    x = 140.54/10.42
  6. Step 6: Final answer
    x = 13.49

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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.