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Finding the Fourth Proportional to 155.84, 214.98 and 93.65

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Solution

The fourth proportional to 155.84, 214.98 and 93.65 is: 129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 214.98 = 93.65 : x
  2. Step 2: Convert to fraction form
    155.84/214.98 = 93.65/x
  3. Step 3: Cross multiply
    155.84x = 214.98 × 93.65
  4. Step 4: Simplify right side
    155.84x = 20,132.88
  5. Step 5: Solve for x
    x = 20,132.88/155.84
  6. Step 6: Final answer
    x = 129.19

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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.