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Finding the Fourth Proportional to 52.12, 72.02 and 41.29

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Solution

The fourth proportional to 52.12, 72.02 and 41.29 is: 57.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 72.02 = 41.29 : x
  2. Step 2: Convert to fraction form
    52.12/72.02 = 41.29/x
  3. Step 3: Cross multiply
    52.12x = 72.02 × 41.29
  4. Step 4: Simplify right side
    52.12x = 2,973.32
  5. Step 5: Solve for x
    x = 2,973.32/52.12
  6. Step 6: Final answer
    x = 57.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.