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Finding the Fourth Proportional to 153.77, 212.15 and 101.42

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Solution

The fourth proportional to 153.77, 212.15 and 101.42 is: 139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 212.15 = 101.42 : x
  2. Step 2: Convert to fraction form
    153.77/212.15 = 101.42/x
  3. Step 3: Cross multiply
    153.77x = 212.15 × 101.42
  4. Step 4: Simplify right side
    153.77x = 21,515.45
  5. Step 5: Solve for x
    x = 21,515.45/153.77
  6. Step 6: Final answer
    x = 139.92

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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.