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Finding the Fourth Proportional to 94.64, 130.00 and 92.82

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Solution

The fourth proportional to 94.64, 130.00 and 92.82 is: 127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.64 : 130.00 = 92.82 : x
  2. Step 2: Convert to fraction form
    94.64/130.00 = 92.82/x
  3. Step 3: Cross multiply
    94.64x = 130.00 × 92.82
  4. Step 4: Simplify right side
    94.64x = 12,066.60
  5. Step 5: Solve for x
    x = 12,066.60/94.64
  6. Step 6: Final answer
    x = 127.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.