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Finding the Fourth Proportional to 72.06, 99.42 and 51.32

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Solution

The fourth proportional to 72.06, 99.42 and 51.32 is: 70.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.06 : 99.42 = 51.32 : x
  2. Step 2: Convert to fraction form
    72.06/99.42 = 51.32/x
  3. Step 3: Cross multiply
    72.06x = 99.42 × 51.32
  4. Step 4: Simplify right side
    72.06x = 5,102.23
  5. Step 5: Solve for x
    x = 5,102.23/72.06
  6. Step 6: Final answer
    x = 70.81

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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.