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Finding the Fourth Proportional to 105.86, 145.95 and 70.88

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Solution

The fourth proportional to 105.86, 145.95 and 70.88 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 145.95 = 70.88 : x
  2. Step 2: Convert to fraction form
    105.86/145.95 = 70.88/x
  3. Step 3: Cross multiply
    105.86x = 145.95 × 70.88
  4. Step 4: Simplify right side
    105.86x = 10,344.34
  5. Step 5: Solve for x
    x = 10,344.34/105.86
  6. Step 6: Final answer
    x = 97.72

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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.