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Finding the Fourth Proportional to 74.58, 112.35 and 73.64

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Solution

The fourth proportional to 74.58, 112.35 and 73.64 is: 110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.58 : 112.35 = 73.64 : x
  2. Step 2: Convert to fraction form
    74.58/112.35 = 73.64/x
  3. Step 3: Cross multiply
    74.58x = 112.35 × 73.64
  4. Step 4: Simplify right side
    74.58x = 8,272.89
  5. Step 5: Solve for x
    x = 8,272.89/74.58
  6. Step 6: Final answer
    x = 110.93

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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.