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Finding the Fourth Proportional to 52.23, 78.65 and 37.88

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Solution

The fourth proportional to 52.23, 78.65 and 37.88 is: 57.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.65 = 37.88 : x
  2. Step 2: Convert to fraction form
    52.23/78.65 = 37.88/x
  3. Step 3: Cross multiply
    52.23x = 78.65 × 37.88
  4. Step 4: Simplify right side
    52.23x = 2,979.27
  5. Step 5: Solve for x
    x = 2,979.27/52.23
  6. Step 6: Final answer
    x = 57.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.