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Finding the Fourth Proportional to 52.32, 78.54 and 34.24

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Solution

The fourth proportional to 52.32, 78.54 and 34.24 is: 51.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 78.54 = 34.24 : x
  2. Step 2: Convert to fraction form
    52.32/78.54 = 34.24/x
  3. Step 3: Cross multiply
    52.32x = 78.54 × 34.24
  4. Step 4: Simplify right side
    52.32x = 2,689.21
  5. Step 5: Solve for x
    x = 2,689.21/52.32
  6. Step 6: Final answer
    x = 51.40

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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.