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Finding the Fourth Proportional to 110.90, 153.24 and 97.07

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Solution

The fourth proportional to 110.90, 153.24 and 97.07 is: 134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 153.24 = 97.07 : x
  2. Step 2: Convert to fraction form
    110.90/153.24 = 97.07/x
  3. Step 3: Cross multiply
    110.90x = 153.24 × 97.07
  4. Step 4: Simplify right side
    110.90x = 14,875.01
  5. Step 5: Solve for x
    x = 14,875.01/110.90
  6. Step 6: Final answer
    x = 134.13

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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.