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Finding the Fourth Proportional to 70.14, 105.03 and 42.99

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Solution

The fourth proportional to 70.14, 105.03 and 42.99 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.14 : 105.03 = 42.99 : x
  2. Step 2: Convert to fraction form
    70.14/105.03 = 42.99/x
  3. Step 3: Cross multiply
    70.14x = 105.03 × 42.99
  4. Step 4: Simplify right side
    70.14x = 4,515.24
  5. Step 5: Solve for x
    x = 4,515.24/70.14
  6. Step 6: Final answer
    x = 64.37

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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.