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Finding the Fourth Proportional to 94.46, 130.34 and 53.02

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Solution

The fourth proportional to 94.46, 130.34 and 53.02 is: 73.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.46 : 130.34 = 53.02 : x
  2. Step 2: Convert to fraction form
    94.46/130.34 = 53.02/x
  3. Step 3: Cross multiply
    94.46x = 130.34 × 53.02
  4. Step 4: Simplify right side
    94.46x = 6,910.92
  5. Step 5: Solve for x
    x = 6,910.92/94.46
  6. Step 6: Final answer
    x = 73.17

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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.