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Finding the Fourth Proportional to 155.66, 214.79 and 90.17

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Solution

The fourth proportional to 155.66, 214.79 and 90.17 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 214.79 = 90.17 : x
  2. Step 2: Convert to fraction form
    155.66/214.79 = 90.17/x
  3. Step 3: Cross multiply
    155.66x = 214.79 × 90.17
  4. Step 4: Simplify right side
    155.66x = 19,366.09
  5. Step 5: Solve for x
    x = 19,366.09/155.66
  6. Step 6: Final answer
    x = 124.42

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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.