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Finding the Fourth Proportional to 30.95, 46.58 and 21.99

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Solution

The fourth proportional to 30.95, 46.58 and 21.99 is: 33.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.95 : 46.58 = 21.99 : x
  2. Step 2: Convert to fraction form
    30.95/46.58 = 21.99/x
  3. Step 3: Cross multiply
    30.95x = 46.58 × 21.99
  4. Step 4: Simplify right side
    30.95x = 1,024.29
  5. Step 5: Solve for x
    x = 1,024.29/30.95
  6. Step 6: Final answer
    x = 33.10

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Why These Related Problems?

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