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Finding the Fourth Proportional to 155.29, 214.34 and 89.83

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Solution

The fourth proportional to 155.29, 214.34 and 89.83 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.29 : 214.34 = 89.83 : x
  2. Step 2: Convert to fraction form
    155.29/214.34 = 89.83/x
  3. Step 3: Cross multiply
    155.29x = 214.34 × 89.83
  4. Step 4: Simplify right side
    155.29x = 19,254.16
  5. Step 5: Solve for x
    x = 19,254.16/155.29
  6. Step 6: Final answer
    x = 123.99

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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.