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Finding the Fourth Proportional to 105.42, 158.36 and 101.19

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Solution

The fourth proportional to 105.42, 158.36 and 101.19 is: 152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 158.36 = 101.19 : x
  2. Step 2: Convert to fraction form
    105.42/158.36 = 101.19/x
  3. Step 3: Cross multiply
    105.42x = 158.36 × 101.19
  4. Step 4: Simplify right side
    105.42x = 16,023.94
  5. Step 5: Solve for x
    x = 16,023.94/105.42
  6. Step 6: Final answer
    x = 152.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.