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Finding the Fourth Proportional to 73.58, 101 and 66.30

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Solution

The fourth proportional to 73.58, 101 and 66.30 is: 91.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.58 : 101 = 66.30 : x
  2. Step 2: Convert to fraction form
    73.58/101 = 66.30/x
  3. Step 3: Cross multiply
    73.58x = 101 × 66.30
  4. Step 4: Simplify right side
    73.58x = 6,696.30
  5. Step 5: Solve for x
    x = 6,696.30/73.58
  6. Step 6: Final answer
    x = 91.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.