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Finding the Fourth Proportional to 30.50, 42.06 and 19.58

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Solution

The fourth proportional to 30.50, 42.06 and 19.58 is: 27.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 42.06 = 19.58 : x
  2. Step 2: Convert to fraction form
    30.50/42.06 = 19.58/x
  3. Step 3: Cross multiply
    30.50x = 42.06 × 19.58
  4. Step 4: Simplify right side
    30.50x = 823.64
  5. Step 5: Solve for x
    x = 823.64/30.50
  6. Step 6: Final answer
    x = 27.00

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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.