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Finding the Fourth Proportional to 55.06, 75.93 and 45.34

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Solution

The fourth proportional to 55.06, 75.93 and 45.34 is: 62.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.06 : 75.93 = 45.34 : x
  2. Step 2: Convert to fraction form
    55.06/75.93 = 45.34/x
  3. Step 3: Cross multiply
    55.06x = 75.93 × 45.34
  4. Step 4: Simplify right side
    55.06x = 3,442.67
  5. Step 5: Solve for x
    x = 3,442.67/55.06
  6. Step 6: Final answer
    x = 62.53

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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.