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Finding the Fourth Proportional to 56.11, 77.25 and 45.02

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Solution

The fourth proportional to 56.11, 77.25 and 45.02 is: 61.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.11 : 77.25 = 45.02 : x
  2. Step 2: Convert to fraction form
    56.11/77.25 = 45.02/x
  3. Step 3: Cross multiply
    56.11x = 77.25 × 45.02
  4. Step 4: Simplify right side
    56.11x = 3,478.16
  5. Step 5: Solve for x
    x = 3,478.16/56.11
  6. Step 6: Final answer
    x = 61.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.