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Finding the Fourth Proportional to 109.95, 151.80 and 71.20

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Solution

The fourth proportional to 109.95, 151.80 and 71.20 is: 98.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 151.80 = 71.20 : x
  2. Step 2: Convert to fraction form
    109.95/151.80 = 71.20/x
  3. Step 3: Cross multiply
    109.95x = 151.80 × 71.20
  4. Step 4: Simplify right side
    109.95x = 10,808.16
  5. Step 5: Solve for x
    x = 10,808.16/109.95
  6. Step 6: Final answer
    x = 98.30

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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.