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Finding the Fourth Proportional to 52.51, 72.44 and 31.51

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Solution

The fourth proportional to 52.51, 72.44 and 31.51 is: 43.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.51 : 72.44 = 31.51 : x
  2. Step 2: Convert to fraction form
    52.51/72.44 = 31.51/x
  3. Step 3: Cross multiply
    52.51x = 72.44 × 31.51
  4. Step 4: Simplify right side
    52.51x = 2,282.58
  5. Step 5: Solve for x
    x = 2,282.58/52.51
  6. Step 6: Final answer
    x = 43.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.