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Finding the Fourth Proportional to 94.61, 140.24 and 93.16

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Solution

The fourth proportional to 94.61, 140.24 and 93.16 is: 138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.61 : 140.24 = 93.16 : x
  2. Step 2: Convert to fraction form
    94.61/140.24 = 93.16/x
  3. Step 3: Cross multiply
    94.61x = 140.24 × 93.16
  4. Step 4: Simplify right side
    94.61x = 13,064.06
  5. Step 5: Solve for x
    x = 13,064.06/94.61
  6. Step 6: Final answer
    x = 138.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.