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Finding the Fourth Proportional to 60.77, 83.87 and 36.23

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Solution

The fourth proportional to 60.77, 83.87 and 36.23 is: 50.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.77 : 83.87 = 36.23 : x
  2. Step 2: Convert to fraction form
    60.77/83.87 = 36.23/x
  3. Step 3: Cross multiply
    60.77x = 83.87 × 36.23
  4. Step 4: Simplify right side
    60.77x = 3,038.28
  5. Step 5: Solve for x
    x = 3,038.28/60.77
  6. Step 6: Final answer
    x = 50.00

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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.