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Finding the Fourth Proportional to 46.42, 70.04 and 45.07

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Solution

The fourth proportional to 46.42, 70.04 and 45.07 is: 68.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 70.04 = 45.07 : x
  2. Step 2: Convert to fraction form
    46.42/70.04 = 45.07/x
  3. Step 3: Cross multiply
    46.42x = 70.04 × 45.07
  4. Step 4: Simplify right side
    46.42x = 3,156.70
  5. Step 5: Solve for x
    x = 3,156.70/46.42
  6. Step 6: Final answer
    x = 68.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.