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Finding the Fourth Proportional to 72.16, 99.59 and 39.41

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Solution

The fourth proportional to 72.16, 99.59 and 39.41 is: 54.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.16 : 99.59 = 39.41 : x
  2. Step 2: Convert to fraction form
    72.16/99.59 = 39.41/x
  3. Step 3: Cross multiply
    72.16x = 99.59 × 39.41
  4. Step 4: Simplify right side
    72.16x = 3,925.14
  5. Step 5: Solve for x
    x = 3,925.14/72.16
  6. Step 6: Final answer
    x = 54.39

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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.