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Finding the Fourth Proportional to 94.30, 130.06 and 63.20

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Solution

The fourth proportional to 94.30, 130.06 and 63.20 is: 87.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.30 : 130.06 = 63.20 : x
  2. Step 2: Convert to fraction form
    94.30/130.06 = 63.20/x
  3. Step 3: Cross multiply
    94.30x = 130.06 × 63.20
  4. Step 4: Simplify right side
    94.30x = 8,219.79
  5. Step 5: Solve for x
    x = 8,219.79/94.30
  6. Step 6: Final answer
    x = 87.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.