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Finding the Fourth Proportional to 100.52, 138.73 and 56.86

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Solution

The fourth proportional to 100.52, 138.73 and 56.86 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.52 : 138.73 = 56.86 : x
  2. Step 2: Convert to fraction form
    100.52/138.73 = 56.86/x
  3. Step 3: Cross multiply
    100.52x = 138.73 × 56.86
  4. Step 4: Simplify right side
    100.52x = 7,887.70
  5. Step 5: Solve for x
    x = 7,887.70/100.52
  6. Step 6: Final answer
    x = 78.47

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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.