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Finding the Fourth Proportional to 60.69, 90.93 and 43.54

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Solution

The fourth proportional to 60.69, 90.93 and 43.54 is: 65.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.69 : 90.93 = 43.54 : x
  2. Step 2: Convert to fraction form
    60.69/90.93 = 43.54/x
  3. Step 3: Cross multiply
    60.69x = 90.93 × 43.54
  4. Step 4: Simplify right side
    60.69x = 3,958.86
  5. Step 5: Solve for x
    x = 3,958.86/60.69
  6. Step 6: Final answer
    x = 65.23

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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.