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Finding the Fourth Proportional to 103.13, 154.65 and 76.10

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Solution

The fourth proportional to 103.13, 154.65 and 76.10 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 154.65 = 76.10 : x
  2. Step 2: Convert to fraction form
    103.13/154.65 = 76.10/x
  3. Step 3: Cross multiply
    103.13x = 154.65 × 76.10
  4. Step 4: Simplify right side
    103.13x = 11,768.87
  5. Step 5: Solve for x
    x = 11,768.87/103.13
  6. Step 6: Final answer
    x = 114.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.