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Finding the Fourth Proportional to 84.77, 117.07 and 74.95

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Solution

The fourth proportional to 84.77, 117.07 and 74.95 is: 103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.77 : 117.07 = 74.95 : x
  2. Step 2: Convert to fraction form
    84.77/117.07 = 74.95/x
  3. Step 3: Cross multiply
    84.77x = 117.07 × 74.95
  4. Step 4: Simplify right side
    84.77x = 8,774.46
  5. Step 5: Solve for x
    x = 8,774.46/84.77
  6. Step 6: Final answer
    x = 103.51

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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.