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Finding the Fourth Proportional to 92.77, 128.00 and 69.53

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Solution

The fourth proportional to 92.77, 128.00 and 69.53 is: 95.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.77 : 128.00 = 69.53 : x
  2. Step 2: Convert to fraction form
    92.77/128.00 = 69.53/x
  3. Step 3: Cross multiply
    92.77x = 128.00 × 69.53
  4. Step 4: Simplify right side
    92.77x = 8,899.49
  5. Step 5: Solve for x
    x = 8,899.49/92.77
  6. Step 6: Final answer
    x = 95.93

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