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Finding the Fourth Proportional to 73.07, 101.08 and 64.45

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Solution

The fourth proportional to 73.07, 101.08 and 64.45 is: 89.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.07 : 101.08 = 64.45 : x
  2. Step 2: Convert to fraction form
    73.07/101.08 = 64.45/x
  3. Step 3: Cross multiply
    73.07x = 101.08 × 64.45
  4. Step 4: Simplify right side
    73.07x = 6,514.61
  5. Step 5: Solve for x
    x = 6,514.61/73.07
  6. Step 6: Final answer
    x = 89.16

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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.