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Finding the Fourth Proportional to 43.15, 59.54 and 23.75

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Solution

The fourth proportional to 43.15, 59.54 and 23.75 is: 32.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.15 : 59.54 = 23.75 : x
  2. Step 2: Convert to fraction form
    43.15/59.54 = 23.75/x
  3. Step 3: Cross multiply
    43.15x = 59.54 × 23.75
  4. Step 4: Simplify right side
    43.15x = 1,413.84
  5. Step 5: Solve for x
    x = 1,413.84/43.15
  6. Step 6: Final answer
    x = 32.77

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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.