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Finding the Fourth Proportional to 134.60, 202.00 and 52.35

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Solution

The fourth proportional to 134.60, 202.00 and 52.35 is: 78.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 202.00 = 52.35 : x
  2. Step 2: Convert to fraction form
    134.60/202.00 = 52.35/x
  3. Step 3: Cross multiply
    134.60x = 202.00 × 52.35
  4. Step 4: Simplify right side
    134.60x = 10,574.83
  5. Step 5: Solve for x
    x = 10,574.83/134.60
  6. Step 6: Final answer
    x = 78.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.