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Finding the Fourth Proportional to 153.69, 212.12 and 90.71

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Solution

The fourth proportional to 153.69, 212.12 and 90.71 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 212.12 = 90.71 : x
  2. Step 2: Convert to fraction form
    153.69/212.12 = 90.71/x
  3. Step 3: Cross multiply
    153.69x = 212.12 × 90.71
  4. Step 4: Simplify right side
    153.69x = 19,241.41
  5. Step 5: Solve for x
    x = 19,241.41/153.69
  6. Step 6: Final answer
    x = 125.20

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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.