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Finding the Fourth Proportional to 76.51, 114.67 and 37.91

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Solution

The fourth proportional to 76.51, 114.67 and 37.91 is: 56.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 114.67 = 37.91 : x
  2. Step 2: Convert to fraction form
    76.51/114.67 = 37.91/x
  3. Step 3: Cross multiply
    76.51x = 114.67 × 37.91
  4. Step 4: Simplify right side
    76.51x = 4,347.14
  5. Step 5: Solve for x
    x = 4,347.14/76.51
  6. Step 6: Final answer
    x = 56.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.