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Finding the Fourth Proportional to 70.19, 105.28 and 29.58

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Solution

The fourth proportional to 70.19, 105.28 and 29.58 is: 44.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.19 : 105.28 = 29.58 : x
  2. Step 2: Convert to fraction form
    70.19/105.28 = 29.58/x
  3. Step 3: Cross multiply
    70.19x = 105.28 × 29.58
  4. Step 4: Simplify right side
    70.19x = 3,114.18
  5. Step 5: Solve for x
    x = 3,114.18/70.19
  6. Step 6: Final answer
    x = 44.37

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