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Finding the Fourth Proportional to 85.95, 128.72 and 45.35

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Solution

The fourth proportional to 85.95, 128.72 and 45.35 is: 67.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.95 : 128.72 = 45.35 : x
  2. Step 2: Convert to fraction form
    85.95/128.72 = 45.35/x
  3. Step 3: Cross multiply
    85.95x = 128.72 × 45.35
  4. Step 4: Simplify right side
    85.95x = 5,836.58
  5. Step 5: Solve for x
    x = 5,836.58/85.95
  6. Step 6: Final answer
    x = 67.91

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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.