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Finding the Fourth Proportional to 100.14, 150.16 and 42.34

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Solution

The fourth proportional to 100.14, 150.16 and 42.34 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 150.16 = 42.34 : x
  2. Step 2: Convert to fraction form
    100.14/150.16 = 42.34/x
  3. Step 3: Cross multiply
    100.14x = 150.16 × 42.34
  4. Step 4: Simplify right side
    100.14x = 6,357.77
  5. Step 5: Solve for x
    x = 6,357.77/100.14
  6. Step 6: Final answer
    x = 63.49

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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.