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Finding the Fourth Proportional to 154.16, 212.54 and 109.82

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Solution

The fourth proportional to 154.16, 212.54 and 109.82 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.16 : 212.54 = 109.82 : x
  2. Step 2: Convert to fraction form
    154.16/212.54 = 109.82/x
  3. Step 3: Cross multiply
    154.16x = 212.54 × 109.82
  4. Step 4: Simplify right side
    154.16x = 23,341.14
  5. Step 5: Solve for x
    x = 23,341.14/154.16
  6. Step 6: Final answer
    x = 151.41

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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.