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Finding the Fourth Proportional to 52.50, 78.64 and 36.42

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Solution

The fourth proportional to 52.50, 78.64 and 36.42 is: 54.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 78.64 = 36.42 : x
  2. Step 2: Convert to fraction form
    52.50/78.64 = 36.42/x
  3. Step 3: Cross multiply
    52.50x = 78.64 × 36.42
  4. Step 4: Simplify right side
    52.50x = 2,864.07
  5. Step 5: Solve for x
    x = 2,864.07/52.50
  6. Step 6: Final answer
    x = 54.55

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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.