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Finding the Fourth Proportional to 30.56, 45.85 and 10.00

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Solution

The fourth proportional to 30.56, 45.85 and 10.00 is: 15.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.56 : 45.85 = 10.00 : x
  2. Step 2: Convert to fraction form
    30.56/45.85 = 10.00/x
  3. Step 3: Cross multiply
    30.56x = 45.85 × 10.00
  4. Step 4: Simplify right side
    30.56x = 458.61
  5. Step 5: Solve for x
    x = 458.61/30.56
  6. Step 6: Final answer
    x = 15.01

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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.