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Finding the Fourth Proportional to 154.04, 212.15 and 117.11

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Solution

The fourth proportional to 154.04, 212.15 and 117.11 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.04 : 212.15 = 117.11 : x
  2. Step 2: Convert to fraction form
    154.04/212.15 = 117.11/x
  3. Step 3: Cross multiply
    154.04x = 212.15 × 117.11
  4. Step 4: Simplify right side
    154.04x = 24,845.71
  5. Step 5: Solve for x
    x = 24,845.71/154.04
  6. Step 6: Final answer
    x = 161.30

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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.