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Finding the Fourth Proportional to 131.60, 181.52 and 102.40

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Solution

The fourth proportional to 131.60, 181.52 and 102.40 is: 141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 181.52 = 102.40 : x
  2. Step 2: Convert to fraction form
    131.60/181.52 = 102.40/x
  3. Step 3: Cross multiply
    131.60x = 181.52 × 102.40
  4. Step 4: Simplify right side
    131.60x = 18,587.65
  5. Step 5: Solve for x
    x = 18,587.65/131.60
  6. Step 6: Final answer
    x = 141.24

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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.