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Finding the Fourth Proportional to 91.80, 126.56 and 72.12

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Solution

The fourth proportional to 91.80, 126.56 and 72.12 is: 99.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.80 : 126.56 = 72.12 : x
  2. Step 2: Convert to fraction form
    91.80/126.56 = 72.12/x
  3. Step 3: Cross multiply
    91.80x = 126.56 × 72.12
  4. Step 4: Simplify right side
    91.80x = 9,127.51
  5. Step 5: Solve for x
    x = 9,127.51/91.80
  6. Step 6: Final answer
    x = 99.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.