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Finding the Fourth Proportional to 154.23, 212.90 and 114.93

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Solution

The fourth proportional to 154.23, 212.90 and 114.93 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.23 : 212.90 = 114.93 : x
  2. Step 2: Convert to fraction form
    154.23/212.90 = 114.93/x
  3. Step 3: Cross multiply
    154.23x = 212.90 × 114.93
  4. Step 4: Simplify right side
    154.23x = 24,468.02
  5. Step 5: Solve for x
    x = 24,468.02/154.23
  6. Step 6: Final answer
    x = 158.65

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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.