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Finding the Fourth Proportional to 85.48, 129.07 and 85.48

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Solution

The fourth proportional to 85.48, 129.07 and 85.48 is: 129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.48 : 129.07 = 85.48 : x
  2. Step 2: Convert to fraction form
    85.48/129.07 = 85.48/x
  3. Step 3: Cross multiply
    85.48x = 129.07 × 85.48
  4. Step 4: Simplify right side
    85.48x = 11,032.90
  5. Step 5: Solve for x
    x = 11,032.90/85.48
  6. Step 6: Final answer
    x = 129.07

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