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Finding the Fourth Proportional to 76.47, 106.01 and 72.36

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Solution

The fourth proportional to 76.47, 106.01 and 72.36 is: 100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.47 : 106.01 = 72.36 : x
  2. Step 2: Convert to fraction form
    76.47/106.01 = 72.36/x
  3. Step 3: Cross multiply
    76.47x = 106.01 × 72.36
  4. Step 4: Simplify right side
    76.47x = 7,670.52
  5. Step 5: Solve for x
    x = 7,670.52/76.47
  6. Step 6: Final answer
    x = 100.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.