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Finding the Fourth Proportional to 76.34, 114.41 and 60.14

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Solution

The fourth proportional to 76.34, 114.41 and 60.14 is: 90.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 114.41 = 60.14 : x
  2. Step 2: Convert to fraction form
    76.34/114.41 = 60.14/x
  3. Step 3: Cross multiply
    76.34x = 114.41 × 60.14
  4. Step 4: Simplify right side
    76.34x = 6,881.05
  5. Step 5: Solve for x
    x = 6,881.05/76.34
  6. Step 6: Final answer
    x = 90.13

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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.