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Finding the Fourth Proportional to 165.70, 228.67 and 124.45

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Solution

The fourth proportional to 165.70, 228.67 and 124.45 is: 171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.70 : 228.67 = 124.45 : x
  2. Step 2: Convert to fraction form
    165.70/228.67 = 124.45/x
  3. Step 3: Cross multiply
    165.70x = 228.67 × 124.45
  4. Step 4: Simplify right side
    165.70x = 28,457.98
  5. Step 5: Solve for x
    x = 28,457.98/165.70
  6. Step 6: Final answer
    x = 171.74

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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.