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Finding the Fourth Proportional to 99.58, 149.40 and 65.41

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Solution

The fourth proportional to 99.58, 149.40 and 65.41 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.58 : 149.40 = 65.41 : x
  2. Step 2: Convert to fraction form
    99.58/149.40 = 65.41/x
  3. Step 3: Cross multiply
    99.58x = 149.40 × 65.41
  4. Step 4: Simplify right side
    99.58x = 9,772.25
  5. Step 5: Solve for x
    x = 9,772.25/99.58
  6. Step 6: Final answer
    x = 98.13

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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.