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Finding the Fourth Proportional to 56.11, 76.90 and 56.02

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Solution

The fourth proportional to 56.11, 76.90 and 56.02 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.11 : 76.90 = 56.02 : x
  2. Step 2: Convert to fraction form
    56.11/76.90 = 56.02/x
  3. Step 3: Cross multiply
    56.11x = 76.90 × 56.02
  4. Step 4: Simplify right side
    56.11x = 4,307.94
  5. Step 5: Solve for x
    x = 4,307.94/56.11
  6. Step 6: Final answer
    x = 76.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.