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Finding the Fourth Proportional to 95.24, 141.74 and 92.00

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Solution

The fourth proportional to 95.24, 141.74 and 92.00 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.24 : 141.74 = 92.00 : x
  2. Step 2: Convert to fraction form
    95.24/141.74 = 92.00/x
  3. Step 3: Cross multiply
    95.24x = 141.74 × 92.00
  4. Step 4: Simplify right side
    95.24x = 13,038.91
  5. Step 5: Solve for x
    x = 13,038.91/95.24
  6. Step 6: Final answer
    x = 136.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.