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Finding the Fourth Proportional to 55.32, 76.14 and 46

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Solution

The fourth proportional to 55.32, 76.14 and 46 is: 63.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 76.14 = 46 : x
  2. Step 2: Convert to fraction form
    55.32/76.14 = 46/x
  3. Step 3: Cross multiply
    55.32x = 76.14 × 46
  4. Step 4: Simplify right side
    55.32x = 3,502.44
  5. Step 5: Solve for x
    x = 3,502.44/55.32
  6. Step 6: Final answer
    x = 63.31

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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.