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Finding the Fourth Proportional to 154.99, 213.93 and 89.54

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Solution

The fourth proportional to 154.99, 213.93 and 89.54 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.99 : 213.93 = 89.54 : x
  2. Step 2: Convert to fraction form
    154.99/213.93 = 89.54/x
  3. Step 3: Cross multiply
    154.99x = 213.93 × 89.54
  4. Step 4: Simplify right side
    154.99x = 19,155.02
  5. Step 5: Solve for x
    x = 19,155.02/154.99
  6. Step 6: Final answer
    x = 123.59

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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.