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Finding the Fourth Proportional to 76.66, 114.94 and 36.07

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Solution

The fourth proportional to 76.66, 114.94 and 36.07 is: 54.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.66 : 114.94 = 36.07 : x
  2. Step 2: Convert to fraction form
    76.66/114.94 = 36.07/x
  3. Step 3: Cross multiply
    76.66x = 114.94 × 36.07
  4. Step 4: Simplify right side
    76.66x = 4,145.89
  5. Step 5: Solve for x
    x = 4,145.89/76.66
  6. Step 6: Final answer
    x = 54.08

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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.