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Finding the Fourth Proportional to 380.10, 570.05 and 106.13

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Solution

The fourth proportional to 380.10, 570.05 and 106.13 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 570.05 = 106.13 : x
  2. Step 2: Convert to fraction form
    380.10/570.05 = 106.13/x
  3. Step 3: Cross multiply
    380.10x = 570.05 × 106.13
  4. Step 4: Simplify right side
    380.10x = 60,496.03
  5. Step 5: Solve for x
    x = 60,496.03/380.10
  6. Step 6: Final answer
    x = 159.16

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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.