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Finding the Fourth Proportional to 52.17, 78.20 and 36.02

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Solution

The fourth proportional to 52.17, 78.20 and 36.02 is: 53.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 78.20 = 36.02 : x
  2. Step 2: Convert to fraction form
    52.17/78.20 = 36.02/x
  3. Step 3: Cross multiply
    52.17x = 78.20 × 36.02
  4. Step 4: Simplify right side
    52.17x = 2,816.76
  5. Step 5: Solve for x
    x = 2,816.76/52.17
  6. Step 6: Final answer
    x = 53.99

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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.