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Finding the Fourth Proportional to 380.02, 570.05 and 102.42

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Solution

The fourth proportional to 380.02, 570.05 and 102.42 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.02 : 570.05 = 102.42 : x
  2. Step 2: Convert to fraction form
    380.02/570.05 = 102.42/x
  3. Step 3: Cross multiply
    380.02x = 570.05 × 102.42
  4. Step 4: Simplify right side
    380.02x = 58,384.52
  5. Step 5: Solve for x
    x = 58,384.52/380.02
  6. Step 6: Final answer
    x = 153.64

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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.