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Finding the Fourth Proportional to 153.67, 212.07 and 101.26

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Solution

The fourth proportional to 153.67, 212.07 and 101.26 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.67 : 212.07 = 101.26 : x
  2. Step 2: Convert to fraction form
    153.67/212.07 = 101.26/x
  3. Step 3: Cross multiply
    153.67x = 212.07 × 101.26
  4. Step 4: Simplify right side
    153.67x = 21,474.21
  5. Step 5: Solve for x
    x = 21,474.21/153.67
  6. Step 6: Final answer
    x = 139.74

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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.