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Finding the Fourth Proportional to 76.16, 114.25 and 37.71

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Solution

The fourth proportional to 76.16, 114.25 and 37.71 is: 56.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 114.25 = 37.71 : x
  2. Step 2: Convert to fraction form
    76.16/114.25 = 37.71/x
  3. Step 3: Cross multiply
    76.16x = 114.25 × 37.71
  4. Step 4: Simplify right side
    76.16x = 4,308.37
  5. Step 5: Solve for x
    x = 4,308.37/76.16
  6. Step 6: Final answer
    x = 56.57

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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.