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Finding the Fourth Proportional to 155.14, 214.02 and 89.63

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Solution

The fourth proportional to 155.14, 214.02 and 89.63 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 214.02 = 89.63 : x
  2. Step 2: Convert to fraction form
    155.14/214.02 = 89.63/x
  3. Step 3: Cross multiply
    155.14x = 214.02 × 89.63
  4. Step 4: Simplify right side
    155.14x = 19,182.61
  5. Step 5: Solve for x
    x = 19,182.61/155.14
  6. Step 6: Final answer
    x = 123.65

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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.