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Finding the Fourth Proportional to 75.64, 113.47 and 37.14

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Solution

The fourth proportional to 75.64, 113.47 and 37.14 is: 55.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 113.47 = 37.14 : x
  2. Step 2: Convert to fraction form
    75.64/113.47 = 37.14/x
  3. Step 3: Cross multiply
    75.64x = 113.47 × 37.14
  4. Step 4: Simplify right side
    75.64x = 4,214.28
  5. Step 5: Solve for x
    x = 4,214.28/75.64
  6. Step 6: Final answer
    x = 55.71

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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.