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Finding the Fourth Proportional to 29.93, 41.32 and 23.01

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Solution

The fourth proportional to 29.93, 41.32 and 23.01 is: 31.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.93 : 41.32 = 23.01 : x
  2. Step 2: Convert to fraction form
    29.93/41.32 = 23.01/x
  3. Step 3: Cross multiply
    29.93x = 41.32 × 23.01
  4. Step 4: Simplify right side
    29.93x = 950.83
  5. Step 5: Solve for x
    x = 950.83/29.93
  6. Step 6: Final answer
    x = 31.77

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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.