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Finding the Fourth Proportional to 71.04, 98.04 and 65.16

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Solution

The fourth proportional to 71.04, 98.04 and 65.16 is: 89.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 98.04 = 65.16 : x
  2. Step 2: Convert to fraction form
    71.04/98.04 = 65.16/x
  3. Step 3: Cross multiply
    71.04x = 98.04 × 65.16
  4. Step 4: Simplify right side
    71.04x = 6,388.29
  5. Step 5: Solve for x
    x = 6,388.29/71.04
  6. Step 6: Final answer
    x = 89.93

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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.