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Finding the Fourth Proportional to 85.19, 117.65 and 65.93

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Solution

The fourth proportional to 85.19, 117.65 and 65.93 is: 91.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 117.65 = 65.93 : x
  2. Step 2: Convert to fraction form
    85.19/117.65 = 65.93/x
  3. Step 3: Cross multiply
    85.19x = 117.65 × 65.93
  4. Step 4: Simplify right side
    85.19x = 7,756.24
  5. Step 5: Solve for x
    x = 7,756.24/85.19
  6. Step 6: Final answer
    x = 91.05

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Why These Related Problems?

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