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Finding the Fourth Proportional to 101.60, 153.20 and 93.10

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Solution

The fourth proportional to 101.60, 153.20 and 93.10 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 153.20 = 93.10 : x
  2. Step 2: Convert to fraction form
    101.60/153.20 = 93.10/x
  3. Step 3: Cross multiply
    101.60x = 153.20 × 93.10
  4. Step 4: Simplify right side
    101.60x = 14,263.19
  5. Step 5: Solve for x
    x = 14,263.19/101.60
  6. Step 6: Final answer
    x = 140.38

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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.