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Finding the Fourth Proportional to 94.84, 130.62 and 77.32

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Solution

The fourth proportional to 94.84, 130.62 and 77.32 is: 106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.84 : 130.62 = 77.32 : x
  2. Step 2: Convert to fraction form
    94.84/130.62 = 77.32/x
  3. Step 3: Cross multiply
    94.84x = 130.62 × 77.32
  4. Step 4: Simplify right side
    94.84x = 10,099.21
  5. Step 5: Solve for x
    x = 10,099.21/94.84
  6. Step 6: Final answer
    x = 106.49

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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.