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Finding the Fourth Proportional to 99.64, 149.22 and 61.08

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Solution

The fourth proportional to 99.64, 149.22 and 61.08 is: 91.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.64 : 149.22 = 61.08 : x
  2. Step 2: Convert to fraction form
    99.64/149.22 = 61.08/x
  3. Step 3: Cross multiply
    99.64x = 149.22 × 61.08
  4. Step 4: Simplify right side
    99.64x = 9,114.36
  5. Step 5: Solve for x
    x = 9,114.36/99.64
  6. Step 6: Final answer
    x = 91.47

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Why These Related Problems?

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