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Finding the Fourth Proportional to 48.77, 72.77 and 48.43

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Solution

The fourth proportional to 48.77, 72.77 and 48.43 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.77 : 72.77 = 48.43 : x
  2. Step 2: Convert to fraction form
    48.77/72.77 = 48.43/x
  3. Step 3: Cross multiply
    48.77x = 72.77 × 48.43
  4. Step 4: Simplify right side
    48.77x = 3,524.51
  5. Step 5: Solve for x
    x = 3,524.51/48.77
  6. Step 6: Final answer
    x = 72.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.