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Finding the Fourth Proportional to 85.43, 117.65 and 65.99

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Solution

The fourth proportional to 85.43, 117.65 and 65.99 is: 90.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 117.65 = 65.99 : x
  2. Step 2: Convert to fraction form
    85.43/117.65 = 65.99/x
  3. Step 3: Cross multiply
    85.43x = 117.65 × 65.99
  4. Step 4: Simplify right side
    85.43x = 7,762.81
  5. Step 5: Solve for x
    x = 7,762.81/85.43
  6. Step 6: Final answer
    x = 90.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.