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Finding the Fourth Proportional to 52.49, 72.43 and 31.77

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Solution

The fourth proportional to 52.49, 72.43 and 31.77 is: 43.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.49 : 72.43 = 31.77 : x
  2. Step 2: Convert to fraction form
    52.49/72.43 = 31.77/x
  3. Step 3: Cross multiply
    52.49x = 72.43 × 31.77
  4. Step 4: Simplify right side
    52.49x = 2,301.02
  5. Step 5: Solve for x
    x = 2,301.02/52.49
  6. Step 6: Final answer
    x = 43.84

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