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Finding the Fourth Proportional to 123.60, 184.58 and 106.52

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Solution

The fourth proportional to 123.60, 184.58 and 106.52 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 184.58 = 106.52 : x
  2. Step 2: Convert to fraction form
    123.60/184.58 = 106.52/x
  3. Step 3: Cross multiply
    123.60x = 184.58 × 106.52
  4. Step 4: Simplify right side
    123.60x = 19,662.19
  5. Step 5: Solve for x
    x = 19,662.19/123.60
  6. Step 6: Final answer
    x = 159.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.