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Finding the Fourth Proportional to 72.15, 99.56 and 56.61

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Solution

The fourth proportional to 72.15, 99.56 and 56.61 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.15 : 99.56 = 56.61 : x
  2. Step 2: Convert to fraction form
    72.15/99.56 = 56.61/x
  3. Step 3: Cross multiply
    72.15x = 99.56 × 56.61
  4. Step 4: Simplify right side
    72.15x = 5,636.09
  5. Step 5: Solve for x
    x = 5,636.09/72.15
  6. Step 6: Final answer
    x = 78.12

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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.