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Finding the Fourth Proportional to 39.40, 56.02 and 39.40

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Solution

The fourth proportional to 39.40, 56.02 and 39.40 is: 56.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.40 : 56.02 = 39.40 : x
  2. Step 2: Convert to fraction form
    39.40/56.02 = 39.40/x
  3. Step 3: Cross multiply
    39.40x = 56.02 × 39.40
  4. Step 4: Simplify right side
    39.40x = 2,207.19
  5. Step 5: Solve for x
    x = 2,207.19/39.40
  6. Step 6: Final answer
    x = 56.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.