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Finding the Fourth Proportional to 23.13, 31.93 and 16.58

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Solution

The fourth proportional to 23.13, 31.93 and 16.58 is: 22.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.13 : 31.93 = 16.58 : x
  2. Step 2: Convert to fraction form
    23.13/31.93 = 16.58/x
  3. Step 3: Cross multiply
    23.13x = 31.93 × 16.58
  4. Step 4: Simplify right side
    23.13x = 529.40
  5. Step 5: Solve for x
    x = 529.40/23.13
  6. Step 6: Final answer
    x = 22.89

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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.