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Finding the Fourth Proportional to 153.21, 211.64 and 104.30

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Solution

The fourth proportional to 153.21, 211.64 and 104.30 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.21 : 211.64 = 104.30 : x
  2. Step 2: Convert to fraction form
    153.21/211.64 = 104.30/x
  3. Step 3: Cross multiply
    153.21x = 211.64 × 104.30
  4. Step 4: Simplify right side
    153.21x = 22,074.05
  5. Step 5: Solve for x
    x = 22,074.05/153.21
  6. Step 6: Final answer
    x = 144.08

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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.