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Finding the Fourth Proportional to 56.18, 77.54 and 41.66

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Solution

The fourth proportional to 56.18, 77.54 and 41.66 is: 57.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.18 : 77.54 = 41.66 : x
  2. Step 2: Convert to fraction form
    56.18/77.54 = 41.66/x
  3. Step 3: Cross multiply
    56.18x = 77.54 × 41.66
  4. Step 4: Simplify right side
    56.18x = 3,230.32
  5. Step 5: Solve for x
    x = 3,230.32/56.18
  6. Step 6: Final answer
    x = 57.50

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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.