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Finding the Fourth Proportional to 109.94, 151.70 and 85.06

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Solution

The fourth proportional to 109.94, 151.70 and 85.06 is: 117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.94 : 151.70 = 85.06 : x
  2. Step 2: Convert to fraction form
    109.94/151.70 = 85.06/x
  3. Step 3: Cross multiply
    109.94x = 151.70 × 85.06
  4. Step 4: Simplify right side
    109.94x = 12,903.60
  5. Step 5: Solve for x
    x = 12,903.60/109.94
  6. Step 6: Final answer
    x = 117.37

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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.