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Finding the Fourth Proportional to 73.08, 100.78 and 65.32

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Solution

The fourth proportional to 73.08, 100.78 and 65.32 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.08 : 100.78 = 65.32 : x
  2. Step 2: Convert to fraction form
    73.08/100.78 = 65.32/x
  3. Step 3: Cross multiply
    73.08x = 100.78 × 65.32
  4. Step 4: Simplify right side
    73.08x = 6,582.95
  5. Step 5: Solve for x
    x = 6,582.95/73.08
  6. Step 6: Final answer
    x = 90.08

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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.