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Finding the Fourth Proportional to 39.89, 55.01 and 30.70

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Solution

The fourth proportional to 39.89, 55.01 and 30.70 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.89 : 55.01 = 30.70 : x
  2. Step 2: Convert to fraction form
    39.89/55.01 = 30.70/x
  3. Step 3: Cross multiply
    39.89x = 55.01 × 30.70
  4. Step 4: Simplify right side
    39.89x = 1,688.81
  5. Step 5: Solve for x
    x = 1,688.81/39.89
  6. Step 6: Final answer
    x = 42.34

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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.