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Finding the Fourth Proportional to 94.94, 130.88 and 73.06

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Solution

The fourth proportional to 94.94, 130.88 and 73.06 is: 100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.94 : 130.88 = 73.06 : x
  2. Step 2: Convert to fraction form
    94.94/130.88 = 73.06/x
  3. Step 3: Cross multiply
    94.94x = 130.88 × 73.06
  4. Step 4: Simplify right side
    94.94x = 9,562.09
  5. Step 5: Solve for x
    x = 9,562.09/94.94
  6. Step 6: Final answer
    x = 100.72

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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.