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Finding the Fourth Proportional to 72.06, 99.38 and 47.13

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Solution

The fourth proportional to 72.06, 99.38 and 47.13 is: 65.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.06 : 99.38 = 47.13 : x
  2. Step 2: Convert to fraction form
    72.06/99.38 = 47.13/x
  3. Step 3: Cross multiply
    72.06x = 99.38 × 47.13
  4. Step 4: Simplify right side
    72.06x = 4,684.02
  5. Step 5: Solve for x
    x = 4,684.02/72.06
  6. Step 6: Final answer
    x = 65.00

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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.