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Finding the Fourth Proportional to 39.02, 53.78 and 30.81

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Solution

The fourth proportional to 39.02, 53.78 and 30.81 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 53.78 = 30.81 : x
  2. Step 2: Convert to fraction form
    39.02/53.78 = 30.81/x
  3. Step 3: Cross multiply
    39.02x = 53.78 × 30.81
  4. Step 4: Simplify right side
    39.02x = 1,656.81
  5. Step 5: Solve for x
    x = 1,656.81/39.02
  6. Step 6: Final answer
    x = 42.47

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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.