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Finding the Fourth Proportional to 119.53, 164.96 and 88.48

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Solution

The fourth proportional to 119.53, 164.96 and 88.48 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 164.96 = 88.48 : x
  2. Step 2: Convert to fraction form
    119.53/164.96 = 88.48/x
  3. Step 3: Cross multiply
    119.53x = 164.96 × 88.48
  4. Step 4: Simplify right side
    119.53x = 14,595.47
  5. Step 5: Solve for x
    x = 14,595.47/119.53
  6. Step 6: Final answer
    x = 122.11

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Why These Related Problems?

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