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Finding the Fourth Proportional to 102.65, 154.58 and 93.60

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Solution

The fourth proportional to 102.65, 154.58 and 93.60 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 154.58 = 93.60 : x
  2. Step 2: Convert to fraction form
    102.65/154.58 = 93.60/x
  3. Step 3: Cross multiply
    102.65x = 154.58 × 93.60
  4. Step 4: Simplify right side
    102.65x = 14,468.45
  5. Step 5: Solve for x
    x = 14,468.45/102.65
  6. Step 6: Final answer
    x = 140.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.