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Finding the Fourth Proportional to 93.07, 140.06 and 83.13

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Solution

The fourth proportional to 93.07, 140.06 and 83.13 is: 125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.07 : 140.06 = 83.13 : x
  2. Step 2: Convert to fraction form
    93.07/140.06 = 83.13/x
  3. Step 3: Cross multiply
    93.07x = 140.06 × 83.13
  4. Step 4: Simplify right side
    93.07x = 11,643.19
  5. Step 5: Solve for x
    x = 11,643.19/93.07
  6. Step 6: Final answer
    x = 125.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.