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Finding the Fourth Proportional to 40.05, 59.76 and 38.07

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Solution

The fourth proportional to 40.05, 59.76 and 38.07 is: 56.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.05 : 59.76 = 38.07 : x
  2. Step 2: Convert to fraction form
    40.05/59.76 = 38.07/x
  3. Step 3: Cross multiply
    40.05x = 59.76 × 38.07
  4. Step 4: Simplify right side
    40.05x = 2,275.06
  5. Step 5: Solve for x
    x = 2,275.06/40.05
  6. Step 6: Final answer
    x = 56.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.