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Finding the Fourth Proportional to 99.68, 149.28 and 59.06

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Solution

The fourth proportional to 99.68, 149.28 and 59.06 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.68 : 149.28 = 59.06 : x
  2. Step 2: Convert to fraction form
    99.68/149.28 = 59.06/x
  3. Step 3: Cross multiply
    99.68x = 149.28 × 59.06
  4. Step 4: Simplify right side
    99.68x = 8,816.48
  5. Step 5: Solve for x
    x = 8,816.48/99.68
  6. Step 6: Final answer
    x = 88.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.