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Finding the Fourth Proportional to 117.90, 165.30 and 117.90

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Solution

The fourth proportional to 117.90, 165.30 and 117.90 is: 165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 165.30 = 117.90 : x
  2. Step 2: Convert to fraction form
    117.90/165.30 = 117.90/x
  3. Step 3: Cross multiply
    117.90x = 165.30 × 117.90
  4. Step 4: Simplify right side
    117.90x = 19,488.87
  5. Step 5: Solve for x
    x = 19,488.87/117.90
  6. Step 6: Final answer
    x = 165.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.