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Finding the Fourth Proportional to 85.95, 129.53 and 77.40

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Solution

The fourth proportional to 85.95, 129.53 and 77.40 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.95 : 129.53 = 77.40 : x
  2. Step 2: Convert to fraction form
    85.95/129.53 = 77.40/x
  3. Step 3: Cross multiply
    85.95x = 129.53 × 77.40
  4. Step 4: Simplify right side
    85.95x = 10,026.14
  5. Step 5: Solve for x
    x = 10,026.14/85.95
  6. Step 6: Final answer
    x = 116.65

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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.