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Finding the Fourth Proportional to 109.50, 151.06 and 70.16

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Solution

The fourth proportional to 109.50, 151.06 and 70.16 is: 96.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 151.06 = 70.16 : x
  2. Step 2: Convert to fraction form
    109.50/151.06 = 70.16/x
  3. Step 3: Cross multiply
    109.50x = 151.06 × 70.16
  4. Step 4: Simplify right side
    109.50x = 10,598.37
  5. Step 5: Solve for x
    x = 10,598.37/109.50
  6. Step 6: Final answer
    x = 96.79

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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.