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Finding the Fourth Proportional to 39.34, 58.64 and 36.10

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Solution

The fourth proportional to 39.34, 58.64 and 36.10 is: 53.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.34 : 58.64 = 36.10 : x
  2. Step 2: Convert to fraction form
    39.34/58.64 = 36.10/x
  3. Step 3: Cross multiply
    39.34x = 58.64 × 36.10
  4. Step 4: Simplify right side
    39.34x = 2,116.90
  5. Step 5: Solve for x
    x = 2,116.90/39.34
  6. Step 6: Final answer
    x = 53.81

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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.