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Finding the Fourth Proportional to 74.16, 102.54 and 65.05

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Solution

The fourth proportional to 74.16, 102.54 and 65.05 is: 89.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 102.54 = 65.05 : x
  2. Step 2: Convert to fraction form
    74.16/102.54 = 65.05/x
  3. Step 3: Cross multiply
    74.16x = 102.54 × 65.05
  4. Step 4: Simplify right side
    74.16x = 6,670.23
  5. Step 5: Solve for x
    x = 6,670.23/74.16
  6. Step 6: Final answer
    x = 89.94

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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.