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Finding the Fourth Proportional to 103.42, 153.81 and 101.80

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Solution

The fourth proportional to 103.42, 153.81 and 101.80 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 153.81 = 101.80 : x
  2. Step 2: Convert to fraction form
    103.42/153.81 = 101.80/x
  3. Step 3: Cross multiply
    103.42x = 153.81 × 101.80
  4. Step 4: Simplify right side
    103.42x = 15,657.86
  5. Step 5: Solve for x
    x = 15,657.86/103.42
  6. Step 6: Final answer
    x = 151.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.