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Finding the Fourth Proportional to 60.64, 83.77 and 48.23

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Solution

The fourth proportional to 60.64, 83.77 and 48.23 is: 66.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.64 : 83.77 = 48.23 : x
  2. Step 2: Convert to fraction form
    60.64/83.77 = 48.23/x
  3. Step 3: Cross multiply
    60.64x = 83.77 × 48.23
  4. Step 4: Simplify right side
    60.64x = 4,040.00
  5. Step 5: Solve for x
    x = 4,040.00/60.64
  6. Step 6: Final answer
    x = 66.63

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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.