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Finding the Fourth Proportional to 85.07, 117.34 and 53.99

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Solution

The fourth proportional to 85.07, 117.34 and 53.99 is: 74.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.07 : 117.34 = 53.99 : x
  2. Step 2: Convert to fraction form
    85.07/117.34 = 53.99/x
  3. Step 3: Cross multiply
    85.07x = 117.34 × 53.99
  4. Step 4: Simplify right side
    85.07x = 6,335.19
  5. Step 5: Solve for x
    x = 6,335.19/85.07
  6. Step 6: Final answer
    x = 74.47

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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.