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Finding the Fourth Proportional to 85.51, 128.74 and 73.77

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Solution

The fourth proportional to 85.51, 128.74 and 73.77 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.51 : 128.74 = 73.77 : x
  2. Step 2: Convert to fraction form
    85.51/128.74 = 73.77/x
  3. Step 3: Cross multiply
    85.51x = 128.74 × 73.77
  4. Step 4: Simplify right side
    85.51x = 9,497.15
  5. Step 5: Solve for x
    x = 9,497.15/85.51
  6. Step 6: Final answer
    x = 111.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.