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Finding the Fourth Proportional to 120.02, 165.56 and 102.58

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Solution

The fourth proportional to 120.02, 165.56 and 102.58 is: 141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 165.56 = 102.58 : x
  2. Step 2: Convert to fraction form
    120.02/165.56 = 102.58/x
  3. Step 3: Cross multiply
    120.02x = 165.56 × 102.58
  4. Step 4: Simplify right side
    120.02x = 16,983.14
  5. Step 5: Solve for x
    x = 16,983.14/120.02
  6. Step 6: Final answer
    x = 141.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.