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Finding the Fourth Proportional to 52.40, 78.71 and 35.31

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Solution

The fourth proportional to 52.40, 78.71 and 35.31 is: 53.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.71 = 35.31 : x
  2. Step 2: Convert to fraction form
    52.40/78.71 = 35.31/x
  3. Step 3: Cross multiply
    52.40x = 78.71 × 35.31
  4. Step 4: Simplify right side
    52.40x = 2,779.30
  5. Step 5: Solve for x
    x = 2,779.30/52.40
  6. Step 6: Final answer
    x = 53.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.