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Finding the Fourth Proportional to 85.96, 128.72 and 70.93

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Solution

The fourth proportional to 85.96, 128.72 and 70.93 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.72 = 70.93 : x
  2. Step 2: Convert to fraction form
    85.96/128.72 = 70.93/x
  3. Step 3: Cross multiply
    85.96x = 128.72 × 70.93
  4. Step 4: Simplify right side
    85.96x = 9,130.11
  5. Step 5: Solve for x
    x = 9,130.11/85.96
  6. Step 6: Final answer
    x = 106.21

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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.