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Finding the Fourth Proportional to 74.64, 102.93 and 54.93

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Solution

The fourth proportional to 74.64, 102.93 and 54.93 is: 75.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.64 : 102.93 = 54.93 : x
  2. Step 2: Convert to fraction form
    74.64/102.93 = 54.93/x
  3. Step 3: Cross multiply
    74.64x = 102.93 × 54.93
  4. Step 4: Simplify right side
    74.64x = 5,654.12
  5. Step 5: Solve for x
    x = 5,654.12/74.64
  6. Step 6: Final answer
    x = 75.75

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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.