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Finding the Fourth Proportional to 52.16, 78.32 and 41.56

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Solution

The fourth proportional to 52.16, 78.32 and 41.56 is: 62.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 78.32 = 41.56 : x
  2. Step 2: Convert to fraction form
    52.16/78.32 = 41.56/x
  3. Step 3: Cross multiply
    52.16x = 78.32 × 41.56
  4. Step 4: Simplify right side
    52.16x = 3,254.98
  5. Step 5: Solve for x
    x = 3,254.98/52.16
  6. Step 6: Final answer
    x = 62.40

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Why These Related Problems?

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