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Finding the Fourth Proportional to 76, 114.08 and 38.08

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Solution

The fourth proportional to 76, 114.08 and 38.08 is: 57.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 114.08 = 38.08 : x
  2. Step 2: Convert to fraction form
    76/114.08 = 38.08/x
  3. Step 3: Cross multiply
    76x = 114.08 × 38.08
  4. Step 4: Simplify right side
    76x = 4,344.17
  5. Step 5: Solve for x
    x = 4,344.17/76
  6. Step 6: Final answer
    x = 57.16

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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.