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Finding the Fourth Proportional to 14.03, 21.02 and 5.00

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Solution

The fourth proportional to 14.03, 21.02 and 5.00 is: 7.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.03 : 21.02 = 5.00 : x
  2. Step 2: Convert to fraction form
    14.03/21.02 = 5.00/x
  3. Step 3: Cross multiply
    14.03x = 21.02 × 5.00
  4. Step 4: Simplify right side
    14.03x = 105.17
  5. Step 5: Solve for x
    x = 105.17/14.03
  6. Step 6: Final answer
    x = 7.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.