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Finding the Fourth Proportional to 70.19, 105.10 and 37.57

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Solution

The fourth proportional to 70.19, 105.10 and 37.57 is: 56.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.19 : 105.10 = 37.57 : x
  2. Step 2: Convert to fraction form
    70.19/105.10 = 37.57/x
  3. Step 3: Cross multiply
    70.19x = 105.10 × 37.57
  4. Step 4: Simplify right side
    70.19x = 3,948.39
  5. Step 5: Solve for x
    x = 3,948.39/70.19
  6. Step 6: Final answer
    x = 56.25

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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.