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Finding the Fourth Proportional to 76.34, 114.51 and 30.68

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Solution

The fourth proportional to 76.34, 114.51 and 30.68 is: 46.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 114.51 = 30.68 : x
  2. Step 2: Convert to fraction form
    76.34/114.51 = 30.68/x
  3. Step 3: Cross multiply
    76.34x = 114.51 × 30.68
  4. Step 4: Simplify right side
    76.34x = 3,513.17
  5. Step 5: Solve for x
    x = 3,513.17/76.34
  6. Step 6: Final answer
    x = 46.02

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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.