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Finding the Fourth Proportional to 29.95, 41.35 and 19.45

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Solution

The fourth proportional to 29.95, 41.35 and 19.45 is: 26.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.95 : 41.35 = 19.45 : x
  2. Step 2: Convert to fraction form
    29.95/41.35 = 19.45/x
  3. Step 3: Cross multiply
    29.95x = 41.35 × 19.45
  4. Step 4: Simplify right side
    29.95x = 804.26
  5. Step 5: Solve for x
    x = 804.26/29.95
  6. Step 6: Final answer
    x = 26.85

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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.