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Finding the Fourth Proportional to 101.04, 138.16 and 97.26

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Solution

The fourth proportional to 101.04, 138.16 and 97.26 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 138.16 = 97.26 : x
  2. Step 2: Convert to fraction form
    101.04/138.16 = 97.26/x
  3. Step 3: Cross multiply
    101.04x = 138.16 × 97.26
  4. Step 4: Simplify right side
    101.04x = 13,436.96
  5. Step 5: Solve for x
    x = 13,436.96/101.04
  6. Step 6: Final answer
    x = 132.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.