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Finding the Fourth Proportional to 155.23, 214.16 and 89.69

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Solution

The fourth proportional to 155.23, 214.16 and 89.69 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.23 : 214.16 = 89.69 : x
  2. Step 2: Convert to fraction form
    155.23/214.16 = 89.69/x
  3. Step 3: Cross multiply
    155.23x = 214.16 × 89.69
  4. Step 4: Simplify right side
    155.23x = 19,208.01
  5. Step 5: Solve for x
    x = 19,208.01/155.23
  6. Step 6: Final answer
    x = 123.74

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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.