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Finding the Fourth Proportional to 76.16, 114.21 and 30.53

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Solution

The fourth proportional to 76.16, 114.21 and 30.53 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 114.21 = 30.53 : x
  2. Step 2: Convert to fraction form
    76.16/114.21 = 30.53/x
  3. Step 3: Cross multiply
    76.16x = 114.21 × 30.53
  4. Step 4: Simplify right side
    76.16x = 3,486.83
  5. Step 5: Solve for x
    x = 3,486.83/76.16
  6. Step 6: Final answer
    x = 45.78

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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.