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Finding the Fourth Proportional to 53.47, 80.23 and 43.95

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Solution

The fourth proportional to 53.47, 80.23 and 43.95 is: 65.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.47 : 80.23 = 43.95 : x
  2. Step 2: Convert to fraction form
    53.47/80.23 = 43.95/x
  3. Step 3: Cross multiply
    53.47x = 80.23 × 43.95
  4. Step 4: Simplify right side
    53.47x = 3,526.11
  5. Step 5: Solve for x
    x = 3,526.11/53.47
  6. Step 6: Final answer
    x = 65.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.