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Finding the Fourth Proportional to 153.91, 212.45 and 117.02

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Solution

The fourth proportional to 153.91, 212.45 and 117.02 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.91 : 212.45 = 117.02 : x
  2. Step 2: Convert to fraction form
    153.91/212.45 = 117.02/x
  3. Step 3: Cross multiply
    153.91x = 212.45 × 117.02
  4. Step 4: Simplify right side
    153.91x = 24,860.90
  5. Step 5: Solve for x
    x = 24,860.90/153.91
  6. Step 6: Final answer
    x = 161.53

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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.