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Finding the Fourth Proportional to 10.16, 15.14 and 9.76

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Solution

The fourth proportional to 10.16, 15.14 and 9.76 is: 14.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 15.14 = 9.76 : x
  2. Step 2: Convert to fraction form
    10.16/15.14 = 9.76/x
  3. Step 3: Cross multiply
    10.16x = 15.14 × 9.76
  4. Step 4: Simplify right side
    10.16x = 147.77
  5. Step 5: Solve for x
    x = 147.77/10.16
  6. Step 6: Final answer
    x = 14.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.