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Finding the Fourth Proportional to 92.83, 128.14 and 73.16

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Solution

The fourth proportional to 92.83, 128.14 and 73.16 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.83 : 128.14 = 73.16 : x
  2. Step 2: Convert to fraction form
    92.83/128.14 = 73.16/x
  3. Step 3: Cross multiply
    92.83x = 128.14 × 73.16
  4. Step 4: Simplify right side
    92.83x = 9,375.10
  5. Step 5: Solve for x
    x = 9,375.10/92.83
  6. Step 6: Final answer
    x = 100.99

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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.