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Finding the Fourth Proportional to 105.72, 145.98 and 88.56

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Solution

The fourth proportional to 105.72, 145.98 and 88.56 is: 122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 145.98 = 88.56 : x
  2. Step 2: Convert to fraction form
    105.72/145.98 = 88.56/x
  3. Step 3: Cross multiply
    105.72x = 145.98 × 88.56
  4. Step 4: Simplify right side
    105.72x = 12,927.99
  5. Step 5: Solve for x
    x = 12,927.99/105.72
  6. Step 6: Final answer
    x = 122.29

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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.