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Finding the Fourth Proportional to 72.93, 109.54 and 42.47

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Solution

The fourth proportional to 72.93, 109.54 and 42.47 is: 63.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.93 : 109.54 = 42.47 : x
  2. Step 2: Convert to fraction form
    72.93/109.54 = 42.47/x
  3. Step 3: Cross multiply
    72.93x = 109.54 × 42.47
  4. Step 4: Simplify right side
    72.93x = 4,652.64
  5. Step 5: Solve for x
    x = 4,652.64/72.93
  6. Step 6: Final answer
    x = 63.80

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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.