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Finding the Fourth Proportional to 56.16, 77.34 and 40.58

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Solution

The fourth proportional to 56.16, 77.34 and 40.58 is: 55.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.16 : 77.34 = 40.58 : x
  2. Step 2: Convert to fraction form
    56.16/77.34 = 40.58/x
  3. Step 3: Cross multiply
    56.16x = 77.34 × 40.58
  4. Step 4: Simplify right side
    56.16x = 3,138.46
  5. Step 5: Solve for x
    x = 3,138.46/56.16
  6. Step 6: Final answer
    x = 55.88

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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.