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Finding the Fourth Proportional to 22.10, 32.98 and 19.52

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Solution

The fourth proportional to 22.10, 32.98 and 19.52 is: 29.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.10 : 32.98 = 19.52 : x
  2. Step 2: Convert to fraction form
    22.10/32.98 = 19.52/x
  3. Step 3: Cross multiply
    22.10x = 32.98 × 19.52
  4. Step 4: Simplify right side
    22.10x = 643.77
  5. Step 5: Solve for x
    x = 643.77/22.10
  6. Step 6: Final answer
    x = 29.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.