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Finding the Fourth Proportional to 55.42, 82.92 and 46.81

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Solution

The fourth proportional to 55.42, 82.92 and 46.81 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.42 : 82.92 = 46.81 : x
  2. Step 2: Convert to fraction form
    55.42/82.92 = 46.81/x
  3. Step 3: Cross multiply
    55.42x = 82.92 × 46.81
  4. Step 4: Simplify right side
    55.42x = 3,881.76
  5. Step 5: Solve for x
    x = 3,881.76/55.42
  6. Step 6: Final answer
    x = 70.05

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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.