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Finding the Fourth Proportional to 73.51, 110.06 and 65.00

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Solution

The fourth proportional to 73.51, 110.06 and 65.00 is: 97.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 110.06 = 65.00 : x
  2. Step 2: Convert to fraction form
    73.51/110.06 = 65.00/x
  3. Step 3: Cross multiply
    73.51x = 110.06 × 65.00
  4. Step 4: Simplify right side
    73.51x = 7,154.09
  5. Step 5: Solve for x
    x = 7,154.09/73.51
  6. Step 6: Final answer
    x = 97.32

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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.