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Finding the Fourth Proportional to 45.64, 63.03 and 31.06

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Solution

The fourth proportional to 45.64, 63.03 and 31.06 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.64 : 63.03 = 31.06 : x
  2. Step 2: Convert to fraction form
    45.64/63.03 = 31.06/x
  3. Step 3: Cross multiply
    45.64x = 63.03 × 31.06
  4. Step 4: Simplify right side
    45.64x = 1,957.71
  5. Step 5: Solve for x
    x = 1,957.71/45.64
  6. Step 6: Final answer
    x = 42.89

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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.