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Finding the Fourth Proportional to 72.18, 99.40 and 56.57

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Solution

The fourth proportional to 72.18, 99.40 and 56.57 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.18 : 99.40 = 56.57 : x
  2. Step 2: Convert to fraction form
    72.18/99.40 = 56.57/x
  3. Step 3: Cross multiply
    72.18x = 99.40 × 56.57
  4. Step 4: Simplify right side
    72.18x = 5,623.17
  5. Step 5: Solve for x
    x = 5,623.17/72.18
  6. Step 6: Final answer
    x = 77.90

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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.