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Finding the Fourth Proportional to 153.23, 211.41 and 98.01

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Solution

The fourth proportional to 153.23, 211.41 and 98.01 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 211.41 = 98.01 : x
  2. Step 2: Convert to fraction form
    153.23/211.41 = 98.01/x
  3. Step 3: Cross multiply
    153.23x = 211.41 × 98.01
  4. Step 4: Simplify right side
    153.23x = 20,720.29
  5. Step 5: Solve for x
    x = 20,720.29/153.23
  6. Step 6: Final answer
    x = 135.23

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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.