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Finding the Fourth Proportional to 74.34, 102.60 and 53.64

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Solution

The fourth proportional to 74.34, 102.60 and 53.64 is: 74.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.34 : 102.60 = 53.64 : x
  2. Step 2: Convert to fraction form
    74.34/102.60 = 53.64/x
  3. Step 3: Cross multiply
    74.34x = 102.60 × 53.64
  4. Step 4: Simplify right side
    74.34x = 5,503.46
  5. Step 5: Solve for x
    x = 5,503.46/74.34
  6. Step 6: Final answer
    x = 74.03

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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.