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Finding the Fourth Proportional to 112.78, 169.95 and 101.95

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Solution

The fourth proportional to 112.78, 169.95 and 101.95 is: 153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 169.95 = 101.95 : x
  2. Step 2: Convert to fraction form
    112.78/169.95 = 101.95/x
  3. Step 3: Cross multiply
    112.78x = 169.95 × 101.95
  4. Step 4: Simplify right side
    112.78x = 17,326.26
  5. Step 5: Solve for x
    x = 17,326.26/112.78
  6. Step 6: Final answer
    x = 153.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.