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Finding the Fourth Proportional to 70.04, 105.04 and 24.39

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Solution

The fourth proportional to 70.04, 105.04 and 24.39 is: 36.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.04 : 105.04 = 24.39 : x
  2. Step 2: Convert to fraction form
    70.04/105.04 = 24.39/x
  3. Step 3: Cross multiply
    70.04x = 105.04 × 24.39
  4. Step 4: Simplify right side
    70.04x = 2,561.93
  5. Step 5: Solve for x
    x = 2,561.93/70.04
  6. Step 6: Final answer
    x = 36.58

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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.