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Finding the Fourth Proportional to 120.10, 165.86 and 99.58

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Solution

The fourth proportional to 120.10, 165.86 and 99.58 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 165.86 = 99.58 : x
  2. Step 2: Convert to fraction form
    120.10/165.86 = 99.58/x
  3. Step 3: Cross multiply
    120.10x = 165.86 × 99.58
  4. Step 4: Simplify right side
    120.10x = 16,516.34
  5. Step 5: Solve for x
    x = 16,516.34/120.10
  6. Step 6: Final answer
    x = 137.52

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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.