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Finding the Fourth Proportional to 101.60, 145.34 and 101.60

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Solution

The fourth proportional to 101.60, 145.34 and 101.60 is: 145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 145.34 = 101.60 : x
  2. Step 2: Convert to fraction form
    101.60/145.34 = 101.60/x
  3. Step 3: Cross multiply
    101.60x = 145.34 × 101.60
  4. Step 4: Simplify right side
    101.60x = 14,766.54
  5. Step 5: Solve for x
    x = 14,766.54/101.60
  6. Step 6: Final answer
    x = 145.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.