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Finding the Fourth Proportional to 154.16, 230.77 and 102.05

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Solution

The fourth proportional to 154.16, 230.77 and 102.05 is: 152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.16 : 230.77 = 102.05 : x
  2. Step 2: Convert to fraction form
    154.16/230.77 = 102.05/x
  3. Step 3: Cross multiply
    154.16x = 230.77 × 102.05
  4. Step 4: Simplify right side
    154.16x = 23,548.41
  5. Step 5: Solve for x
    x = 23,548.41/154.16
  6. Step 6: Final answer
    x = 152.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.