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Finding the Fourth Proportional to 72.23, 108.35 and 38.00

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Solution

The fourth proportional to 72.23, 108.35 and 38.00 is: 57.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.23 : 108.35 = 38.00 : x
  2. Step 2: Convert to fraction form
    72.23/108.35 = 38.00/x
  3. Step 3: Cross multiply
    72.23x = 108.35 × 38.00
  4. Step 4: Simplify right side
    72.23x = 4,117.74
  5. Step 5: Solve for x
    x = 4,117.74/72.23
  6. Step 6: Final answer
    x = 57.01

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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.