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Finding the Fourth Proportional to 39.19, 53.68 and 39.10

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Solution

The fourth proportional to 39.19, 53.68 and 39.10 is: 53.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.19 : 53.68 = 39.10 : x
  2. Step 2: Convert to fraction form
    39.19/53.68 = 39.10/x
  3. Step 3: Cross multiply
    39.19x = 53.68 × 39.10
  4. Step 4: Simplify right side
    39.19x = 2,098.89
  5. Step 5: Solve for x
    x = 2,098.89/39.19
  6. Step 6: Final answer
    x = 53.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.