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Finding the Fourth Proportional to 55.76, 84.02 and 45.84

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Solution

The fourth proportional to 55.76, 84.02 and 45.84 is: 69.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 84.02 = 45.84 : x
  2. Step 2: Convert to fraction form
    55.76/84.02 = 45.84/x
  3. Step 3: Cross multiply
    55.76x = 84.02 × 45.84
  4. Step 4: Simplify right side
    55.76x = 3,851.65
  5. Step 5: Solve for x
    x = 3,851.65/55.76
  6. Step 6: Final answer
    x = 69.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.