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Finding the Fourth Proportional to 92.72, 128.04 and 71.04

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Solution

The fourth proportional to 92.72, 128.04 and 71.04 is: 98.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.72 : 128.04 = 71.04 : x
  2. Step 2: Convert to fraction form
    92.72/128.04 = 71.04/x
  3. Step 3: Cross multiply
    92.72x = 128.04 × 71.04
  4. Step 4: Simplify right side
    92.72x = 9,095.96
  5. Step 5: Solve for x
    x = 9,095.96/92.72
  6. Step 6: Final answer
    x = 98.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.