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Finding the Fourth Proportional to 52.51, 78.70 and 18.24

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Solution

The fourth proportional to 52.51, 78.70 and 18.24 is: 27.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.51 : 78.70 = 18.24 : x
  2. Step 2: Convert to fraction form
    52.51/78.70 = 18.24/x
  3. Step 3: Cross multiply
    52.51x = 78.70 × 18.24
  4. Step 4: Simplify right side
    52.51x = 1,435.40
  5. Step 5: Solve for x
    x = 1,435.40/52.51
  6. Step 6: Final answer
    x = 27.34

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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.