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Finding the Fourth Proportional to 93.83, 130.07 and 92.30

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Solution

The fourth proportional to 93.83, 130.07 and 92.30 is: 127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.83 : 130.07 = 92.30 : x
  2. Step 2: Convert to fraction form
    93.83/130.07 = 92.30/x
  3. Step 3: Cross multiply
    93.83x = 130.07 × 92.30
  4. Step 4: Simplify right side
    93.83x = 12,005.46
  5. Step 5: Solve for x
    x = 12,005.46/93.83
  6. Step 6: Final answer
    x = 127.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.