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Finding the Fourth Proportional to 105.12, 157.54 and 53.77

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Solution

The fourth proportional to 105.12, 157.54 and 53.77 is: 80.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 157.54 = 53.77 : x
  2. Step 2: Convert to fraction form
    105.12/157.54 = 53.77/x
  3. Step 3: Cross multiply
    105.12x = 157.54 × 53.77
  4. Step 4: Simplify right side
    105.12x = 8,470.66
  5. Step 5: Solve for x
    x = 8,470.66/105.12
  6. Step 6: Final answer
    x = 80.58

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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.