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Finding the Fourth Proportional to 85.77, 128.61 and 40.07

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Solution

The fourth proportional to 85.77, 128.61 and 40.07 is: 60.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.77 : 128.61 = 40.07 : x
  2. Step 2: Convert to fraction form
    85.77/128.61 = 40.07/x
  3. Step 3: Cross multiply
    85.77x = 128.61 × 40.07
  4. Step 4: Simplify right side
    85.77x = 5,152.76
  5. Step 5: Solve for x
    x = 5,152.76/85.77
  6. Step 6: Final answer
    x = 60.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.