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Finding the Fourth Proportional to 76.55, 114.08 and 75.06

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Solution

The fourth proportional to 76.55, 114.08 and 75.06 is: 111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.55 : 114.08 = 75.06 : x
  2. Step 2: Convert to fraction form
    76.55/114.08 = 75.06/x
  3. Step 3: Cross multiply
    76.55x = 114.08 × 75.06
  4. Step 4: Simplify right side
    76.55x = 8,562.47
  5. Step 5: Solve for x
    x = 8,562.47/76.55
  6. Step 6: Final answer
    x = 111.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.