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Finding the Fourth Proportional to 74.88, 102.77 and 66.93

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Solution

The fourth proportional to 74.88, 102.77 and 66.93 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 102.77 = 66.93 : x
  2. Step 2: Convert to fraction form
    74.88/102.77 = 66.93/x
  3. Step 3: Cross multiply
    74.88x = 102.77 × 66.93
  4. Step 4: Simplify right side
    74.88x = 6,878.06
  5. Step 5: Solve for x
    x = 6,878.06/74.88
  6. Step 6: Final answer
    x = 91.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.