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Finding the Fourth Proportional to 390.13, 585.19 and 101.56

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Solution

The fourth proportional to 390.13, 585.19 and 101.56 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.13 : 585.19 = 101.56 : x
  2. Step 2: Convert to fraction form
    390.13/585.19 = 101.56/x
  3. Step 3: Cross multiply
    390.13x = 585.19 × 101.56
  4. Step 4: Simplify right side
    390.13x = 59,431.90
  5. Step 5: Solve for x
    x = 59,431.90/390.13
  6. Step 6: Final answer
    x = 152.34

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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.