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Finding the Fourth Proportional to 155.60, 214.76 and 100.34

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Solution

The fourth proportional to 155.60, 214.76 and 100.34 is: 138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.60 : 214.76 = 100.34 : x
  2. Step 2: Convert to fraction form
    155.60/214.76 = 100.34/x
  3. Step 3: Cross multiply
    155.60x = 214.76 × 100.34
  4. Step 4: Simplify right side
    155.60x = 21,549.02
  5. Step 5: Solve for x
    x = 21,549.02/155.60
  6. Step 6: Final answer
    x = 138.49

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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.