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Finding the Fourth Proportional to 29.46, 40.65 and 19.74

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Solution

The fourth proportional to 29.46, 40.65 and 19.74 is: 27.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.46 : 40.65 = 19.74 : x
  2. Step 2: Convert to fraction form
    29.46/40.65 = 19.74/x
  3. Step 3: Cross multiply
    29.46x = 40.65 × 19.74
  4. Step 4: Simplify right side
    29.46x = 802.43
  5. Step 5: Solve for x
    x = 802.43/29.46
  6. Step 6: Final answer
    x = 27.24

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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.