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Finding the Fourth Proportional to 56.32, 77.65 and 40.77

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Solution

The fourth proportional to 56.32, 77.65 and 40.77 is: 56.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.32 : 77.65 = 40.77 : x
  2. Step 2: Convert to fraction form
    56.32/77.65 = 40.77/x
  3. Step 3: Cross multiply
    56.32x = 77.65 × 40.77
  4. Step 4: Simplify right side
    56.32x = 3,165.69
  5. Step 5: Solve for x
    x = 3,165.69/56.32
  6. Step 6: Final answer
    x = 56.21

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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.