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Finding the Fourth Proportional to 153.90, 212.48 and 118.87

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Solution

The fourth proportional to 153.90, 212.48 and 118.87 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.90 : 212.48 = 118.87 : x
  2. Step 2: Convert to fraction form
    153.90/212.48 = 118.87/x
  3. Step 3: Cross multiply
    153.90x = 212.48 × 118.87
  4. Step 4: Simplify right side
    153.90x = 25,257.26
  5. Step 5: Solve for x
    x = 25,257.26/153.90
  6. Step 6: Final answer
    x = 164.11

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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.