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Finding the Fourth Proportional to 155.77, 214.86 and 100.59

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Solution

The fourth proportional to 155.77, 214.86 and 100.59 is: 138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.77 : 214.86 = 100.59 : x
  2. Step 2: Convert to fraction form
    155.77/214.86 = 100.59/x
  3. Step 3: Cross multiply
    155.77x = 214.86 × 100.59
  4. Step 4: Simplify right side
    155.77x = 21,612.77
  5. Step 5: Solve for x
    x = 21,612.77/155.77
  6. Step 6: Final answer
    x = 138.75

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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.