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Finding the Fourth Proportional to 56.01, 77.30 and 32.71

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Solution

The fourth proportional to 56.01, 77.30 and 32.71 is: 45.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.01 : 77.30 = 32.71 : x
  2. Step 2: Convert to fraction form
    56.01/77.30 = 32.71/x
  3. Step 3: Cross multiply
    56.01x = 77.30 × 32.71
  4. Step 4: Simplify right side
    56.01x = 2,528.32
  5. Step 5: Solve for x
    x = 2,528.32/56.01
  6. Step 6: Final answer
    x = 45.14

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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.