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Finding the Fourth Proportional to 154.10, 212.69 and 105.00

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Solution

The fourth proportional to 154.10, 212.69 and 105.00 is: 144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 212.69 = 105.00 : x
  2. Step 2: Convert to fraction form
    154.10/212.69 = 105.00/x
  3. Step 3: Cross multiply
    154.10x = 212.69 × 105.00
  4. Step 4: Simplify right side
    154.10x = 22,331.91
  5. Step 5: Solve for x
    x = 22,331.91/154.10
  6. Step 6: Final answer
    x = 144.92

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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.