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Finding the Fourth Proportional to 14.64, 22.07 and 14.23

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Solution

The fourth proportional to 14.64, 22.07 and 14.23 is: 21.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.64 : 22.07 = 14.23 : x
  2. Step 2: Convert to fraction form
    14.64/22.07 = 14.23/x
  3. Step 3: Cross multiply
    14.64x = 22.07 × 14.23
  4. Step 4: Simplify right side
    14.64x = 314.06
  5. Step 5: Solve for x
    x = 314.06/14.64
  6. Step 6: Final answer
    x = 21.45

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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.