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Finding the Fourth Proportional to 153.55, 211.87 and 126.21

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Solution

The fourth proportional to 153.55, 211.87 and 126.21 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.55 : 211.87 = 126.21 : x
  2. Step 2: Convert to fraction form
    153.55/211.87 = 126.21/x
  3. Step 3: Cross multiply
    153.55x = 211.87 × 126.21
  4. Step 4: Simplify right side
    153.55x = 26,739.16
  5. Step 5: Solve for x
    x = 26,739.16/153.55
  6. Step 6: Final answer
    x = 174.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.