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Finding the Fourth Proportional to 70.09, 105.14 and 29.50

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Solution

The fourth proportional to 70.09, 105.14 and 29.50 is: 44.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.09 : 105.14 = 29.50 : x
  2. Step 2: Convert to fraction form
    70.09/105.14 = 29.50/x
  3. Step 3: Cross multiply
    70.09x = 105.14 × 29.50
  4. Step 4: Simplify right side
    70.09x = 3,101.63
  5. Step 5: Solve for x
    x = 3,101.63/70.09
  6. Step 6: Final answer
    x = 44.25

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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.