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Finding the Fourth Proportional to 101.74, 153.20 and 90.40

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Solution

The fourth proportional to 101.74, 153.20 and 90.40 is: 136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 153.20 = 90.40 : x
  2. Step 2: Convert to fraction form
    101.74/153.20 = 90.40/x
  3. Step 3: Cross multiply
    101.74x = 153.20 × 90.40
  4. Step 4: Simplify right side
    101.74x = 13,849.28
  5. Step 5: Solve for x
    x = 13,849.28/101.74
  6. Step 6: Final answer
    x = 136.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.