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Finding the Fourth Proportional to 105.34, 145.34 and 65.94

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Solution

The fourth proportional to 105.34, 145.34 and 65.94 is: 90.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 145.34 = 65.94 : x
  2. Step 2: Convert to fraction form
    105.34/145.34 = 65.94/x
  3. Step 3: Cross multiply
    105.34x = 145.34 × 65.94
  4. Step 4: Simplify right side
    105.34x = 9,583.72
  5. Step 5: Solve for x
    x = 9,583.72/105.34
  6. Step 6: Final answer
    x = 90.98

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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.