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Finding the Fourth Proportional to 73.16, 109.66 and 37.08

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Solution

The fourth proportional to 73.16, 109.66 and 37.08 is: 55.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 109.66 = 37.08 : x
  2. Step 2: Convert to fraction form
    73.16/109.66 = 37.08/x
  3. Step 3: Cross multiply
    73.16x = 109.66 × 37.08
  4. Step 4: Simplify right side
    73.16x = 4,066.19
  5. Step 5: Solve for x
    x = 4,066.19/73.16
  6. Step 6: Final answer
    x = 55.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.