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Finding the Fourth Proportional to 70.12, 105.08 and 37.64

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Solution

The fourth proportional to 70.12, 105.08 and 37.64 is: 56.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.12 : 105.08 = 37.64 : x
  2. Step 2: Convert to fraction form
    70.12/105.08 = 37.64/x
  3. Step 3: Cross multiply
    70.12x = 105.08 × 37.64
  4. Step 4: Simplify right side
    70.12x = 3,955.21
  5. Step 5: Solve for x
    x = 3,955.21/70.12
  6. Step 6: Final answer
    x = 56.41

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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.