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Finding the Fourth Proportional to 52.53, 78.80 and 38.00

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Solution

The fourth proportional to 52.53, 78.80 and 38.00 is: 56.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.53 : 78.80 = 38.00 : x
  2. Step 2: Convert to fraction form
    52.53/78.80 = 38.00/x
  3. Step 3: Cross multiply
    52.53x = 78.80 × 38.00
  4. Step 4: Simplify right side
    52.53x = 2,993.82
  5. Step 5: Solve for x
    x = 2,993.82/52.53
  6. Step 6: Final answer
    x = 56.99

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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.