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Finding the Fourth Proportional to 74.93, 103.34 and 53.06

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Solution

The fourth proportional to 74.93, 103.34 and 53.06 is: 73.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.93 : 103.34 = 53.06 : x
  2. Step 2: Convert to fraction form
    74.93/103.34 = 53.06/x
  3. Step 3: Cross multiply
    74.93x = 103.34 × 53.06
  4. Step 4: Simplify right side
    74.93x = 5,482.84
  5. Step 5: Solve for x
    x = 5,482.84/74.93
  6. Step 6: Final answer
    x = 73.18

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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.