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Finding the Fourth Proportional to 29.58, 40.80 and 17.30

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Solution

The fourth proportional to 29.58, 40.80 and 17.30 is: 23.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.58 : 40.80 = 17.30 : x
  2. Step 2: Convert to fraction form
    29.58/40.80 = 17.30/x
  3. Step 3: Cross multiply
    29.58x = 40.80 × 17.30
  4. Step 4: Simplify right side
    29.58x = 705.84
  5. Step 5: Solve for x
    x = 705.84/29.58
  6. Step 6: Final answer
    x = 23.86

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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.